Solve Equation with Square Root on Both Sides
16K views · Oct 20, 2022 analyzemath.com
This video discusses the steps included in solving equations with square roots on both sides of the equation. In these types of equations, the idea of squaring both sides of the equation to eliminate the square root is applied twice and we may end up with an equation of a higher degree. The introduction of extraneous solutions when squaring both sides is also discussed which leads to checking the solutions obtained when solving these types of equations. More on solving equations with square roots at https://www.analyzemath.com/Equations/equations_square_root.html More math videos at https://www.analyzemath.com/math-videos.html. More math problems with solutions at https://www.analyzemath.com Subscribe to my channel to get more videos on math for all levels https://www.youtube.com/channel/UC2cmvDflm86w7C_D7QmcOVA? sub_confirmation=1
Solve Equations with Square Root
38K views · Oct 8, 2022 analyzemath.com
This video explains the math behind simplifying square roots included in equations. Reviews of the properties of the square root are first discussed. Then three examples are solved. More at https://www.analyzemath.com/Equations/equations_square_root.html More practice https://www.analyzemath.com/middle_school_math/grade_9/grade-9-practice.html More math videos at https://www.analyzemath.com/math-videos.html. More math problems with solutions at https://www.analyzemath.com Subscribe to my channel to get more videos on math for all levels https://www.youtube.com/channel/UC2cmvDflm86w7C_D7QmcOVA? sub_confirmation=1
Solve Quadratic Equations Using Factoring and the Quadratic ...
16K views · Oct 8, 2022 analyzemath.com
This video is about solving quadratic equations using the method of factoring and also the quadratic formulas. Three examples are presented: Example 1 - the equation (x-1)(x+8) = 0 is in a factored form already and therefore solved in a few steps. Example 2 - the equation x(x - 1) = 1 is expanded and because it cannot be factored, is solved using the quadratic formulas that are reviewed in the video. Example 3: the equation 2x^2 + 6 x = 8 is first simplified by dividing all terms by 2 since all coefficients and the constant even numbers, written in standard form, factored and then solved. More at https://www.analyzemath.com/middle_school_math/grade_9/grade-9-practice.html More math videos at https://www.analyzemath.com/math-videos.html. More math problems with solutions at https://www.analyzemath.com Subscribe to my channel to get more videos on math for all levels https://www.youtube.com/channel/UC2cmvDflm86w7C_D7QmcOVA? sub_confirmation=1
Solve Equations with Fractions
7K views · Oct 4, 2022 analyzemath.com
This video first explains the steps to solve an equation with brackets. Then equations with fractions are solved following the steps: 1 - find the lowest common multiple of the denominators 2 - multiply all terms of the equations by the lowest common multiple of the denominators found in step 1. 3 - expand the brackets 4 - group like terms on each side of the equation 5 - isolate the terms with x on one side and the terms with number on the other side of the equation 6 - find the solution. More at https://www.analyzemath.com/middle_school_math/grade_9/grade-9-practice.html More math videos at https://www.analyzemath.com/math-videos.html. More math problems with solutions at https://www.analyzemath.com Subscribe to my channel to get more videos on math for all levels https://www.youtube.com/channel/UC2cmvDflm86w7C_D7QmcOVA? sub_confirmation=1
Solve an Equation with Square Root - Grade 11
64K views · Oct 3, 2022 analyzemath.com
In this video, the steps to solve an equation including the square root and a parameter is solved by first listing the following rules of square root: 1 - sqrt(a b) = sqrt (a) sqrt (b) 2 - ( sqrt (x) )^ 2= x 3 - sqrt (x^2) = x , for x greater than zero. The rules above are used to solve for sqrt (x) and then both sides of the equation are squared to obtain x. More grade 11 math practice at https://www.analyzemath.com/high_school_math/grade_11/grade-11-practice.html More math videos at https://www.analyzemath.com/math-videos.html. More math problems with solutions at https://www.analyzemath.com More grade 12 math practice at https://www.analyzemath.com/high_school_math/grade_12/grade-12-practice.html Subscribe to my channel to get more videos on math for all levels https://www.youtube.com/channel/UC2cmvDflm86w7C_D7QmcOVA? sub_confirmation=1
Solve Trigonometric Equation cos(2x) - 2/sec (x) = 2 - ...
14K views · Oct 3, 2022 analyzemath.com
A trigonometric equation involving multiple angles and a reciprocal trigonometric function is solved showing all steps with details. Trigonometric identities are used to rewrite cos(2x) = 2 cos^2(x) - 1 and 2/sec (x) = 2 cos (x) . The substitution u = cos(x) is made which helps in writing the given equation as a quadratic equation which is solved for u and then u is solved for x. More from Grade 12 Math Practice at https://www.analyzemath.com/high_school_math/grade_12/grade-12-practice.html More grade 12 math practice at https://www.analyzemath.com/high_school_math/grade_12/grade-12-practice.html More math videos at https://www.analyzemath.com/math-videos.html. More math problems with solutions at https://www.analyzemath.com More grade 11 math practice at https://www.analyzemath.com/high_school_math/grade_11/grade-11-practice.html Subscribe to my channel to get more videos on math for all levels https://www.youtube.com/channel/UC2cmvDflm86w7C_D7QmcOVA? sub_confirmation=1
Solve the Logarithmic Equations : ln(x^2+-2) - ln(x-1) = 2 ...
19K views · Oct 3, 2022 analyzemath.com
In this video, the equation (ln(x^2+-2) - ln(x-1) = 2) including logarithmic functions is solved including all detailed steps and the logarithmic rules used to transform the equation. First, the two logarithms on the left side are grouped using the formula: ln (A) - ln(B) = ln (A/B), and 2 on the right side is written as ln(e^2). With these, we have the form ln(W) = ln(V) hence W = V which is an algebraic equation. When the algebraic equation is solved, the solutions are checked because the domain of the function ln(x) requires that x must be positive. More grade 12 math practice at https://www.analyzemath.com/high_school_math/grade_12/grade-12-practice.html More math videos at https://www.analyzemath.com/math-videos.html. More math problems with solutions at https://www.analyzemath.com More grade 11 math practice at https://www.analyzemath.com/high_school_math/grade_11/grade-11-practice.html Subscribe to my channel to get more videos on math for all levels https://www.youtube.com/channel/UC2cmvDflm86w7C_D7QmcOVA? sub_confirmation=1
Solve the Exponential Equation 3 * 4^x + 2^x = 30 - Grade ...
131K views · Oct 3, 2022 analyzemath.com
In this video, an equation with exponential functions of different bases is solved with all detailed steps and rules of exponents used to transform the equation. The expression 4^x is first transformed as (2^2)^x = 2^(2x) = (2^x)^2, hence the exponents are written with the same base. Then the substitution u = 2^x is made and the equation is written as a quadratic equation then solved for u then u solved for x. More from Grade 12 Math Practice at https://www.analyzemath.com/high_school_math/grade_12/grade-12-practice.html More math videos at https://www.analyzemath.com/math-videos.html. More math problems with solutions at https://www.analyzemath.com More grade 11 math practice at https://www.analyzemath.com/high_school_math/grade_11/grade-11-practice.html Subscribe to my channel to get more videos on math for all levels https://www.youtube.com/channel/UC2cmvDflm86w7C_D7QmcOVA? sub_confirmation=1
Solve Absolute Value Equation with Unknown on Both Sides
9K views · Oct 27, 2022 analyzemath.com
This video discusses the ideas and steps behind solving equations with absolute value and the unknown on both sides of the equation. More on equations with absolute value at https://www.analyzemath.com/Equations/solve-equations-with-absolute-value.html More advanced examples on equations with absolute value at https://www.analyzemath.com/absolute-value-equations-inequalities/absolute-value-equations-inequalities.html More math videos at https://www.analyzemath.com/math-videos.html. More math problems with solutions at https://www.analyzemath.com Subscribe to my channel to get more videos on math for all levels https://www.youtube.com/channel/UC2cmvDflm86w7C_D7QmcOVA? sub_confirmation=1
Solve Simple Absolute Value Equations
6K views · Oct 27, 2022 analyzemath.com
This video discusses the ideas and the steps behind solving equations with absolute value on one side and a real number on the other side. Three examples are solved including an example with no solutions. More on equations with absolute value at https://www.analyzemath.com/Equations/solve-equations-with-absolute-value.html More advanced examples on equations with absolute value at https://www.analyzemath.com/absolute-value-equations-inequalities/absolute-value-equations-inequalities.html More math videos at https://www.analyzemath.com/math-videos.html. More math problems with solutions at https://www.analyzemath.com Subscribe to my channel to get more videos on math for all levels https://www.youtube.com/channel/UC2cmvDflm86w7C_D7QmcOVA? sub_confirmation=1