0:00
divide 11x from the x in the divisor x -
0:03
2 giving us the quotient -1 bring down
0:06
22 giving us our new dividend -1x + 22
0:10
the quotient -1 ultiplied by the divisor
0:13
x - 2 gives us -1x + 22 as our second
0:17
dividend the difference between these
0:19
two dividends -1x + 22 and negative 11 x
0:24
+ 22 give us zero therefore our new
0:27
quotient is x^2 + 4x -1
0:31
since we determined the quotient
0:32
calculated from long division giving us
0:34
x^2 + 4x -1 will the use the quadratics
0:38
formula given as x= to b + or minus into
0:41
the roo of b ^2us for a c ala from
0:44
our quotient x^2 + 4 x - 11 is = 21 b is
0:49
equals 2 4 and c = 21 substitute the
0:54
values of a b and c into the quadratic
0:56
formula giving us -4 plus or minus
0:59
of 60 all over which can be also
1:01
simplified to -2 plus or minus of
1:04
15 since after find the x-coordinate of
1:07
the second point of intersection we can
1:09
substitute our xcoordinate into either f
1:11
ofx or g ofx i chose f ofx but you can
1:14
also choose g of x2 substituting the x
1:17
value into f ofx given as f of the x
1:20
value -4 plus or minus 60 all over
1:23
= to8 into -4 plus or minus of 60
1:27
all over plus 34 giving thus the
1:29
y-coordinate of 18 minus or + 8 15
1:33
therefore point of points of
1:35
intersection of f ofx and g ofx are
1:37
calculated don't to forget to comment
1:39
for any inquiries like if you enjoyed
1:41
the video subscribe for more Math and
1:43
Science Academy content