SOLUTION: A)Given the equation X^2 +X -12 = 2x Provide all solutions for the variable x^2 - x -12 = 0 (x-4)(x+3) = 0 x=4, x =-3 Solutions 4, 3 B) Graph both of the related functions on

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A)Given the equation X^2 +X -12 = 2x Provide all solutions for the variable x^2 - x -12 = 0 (x-4)(x+3) = 0 x=4, x =-3 Solutions 4, 3 B) Graph both of the related functions on      Log On


   

Question 1066741: A)Given the equation X^2 +X -12 = 2x
Provide all solutions for the variable
x^2 - x -12 = 0
(x-4)(x+3) = 0
x=4, x =-3
Solutions 4, 3
B) Graph both of the related functions on the same coordinate grid
WHAT DOES IT MEAN BY RELATED FUNCTIONS (there is only one?)
C) Plug in both of your solutions from part A into the related functions
How do I obtain the related functions
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
GIVEN highlight%28x%5E2%2Bx-12=2x%29
(and decide if you want the variable X or x. They are not the same.)

x%5E2%2Bx-12-2x=0
x%5E2-x-12=0
%28x%2B3%29%28x-4%29=0
Your found roots of -3 and +4 are correct.

f%28x%29=x%5E2-x-12=%28x%2B3%29%28x-4%29 is the function. It has the roots which you found. You can find the value in the middle of the roots and use this to find the maximum minimum or vertex of the related function.

Better Understanding:
The functions requested are from your original given equation.
g%28x%29=x%5E2%2Bx-12 and h%28x%29=2x

graph%28300%2C300%2C-8%2C8%2C-8%2C8%2Cx%5E2%2Bx-12%2C2x%29
Notice the x-values where the related functions intersect.