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Answer:
x = 1 ; x = 8
Step-by-step explanation:
6x² - 5x + 10 = 5x² + 4x + 2
x² - 9x + 8 = 0
x² - 8x - x + 8 = 0
x(x - 8) - (x -8) = 0
(x - 8)(x - 1) = 0
x = 1, x = 8
Answer:
x=8 x=1
Step-by-step explanation:
f(x) = g(x)
6x^2 -5x +10 = 5x^2 +4x+2
Subtract 5x^2 from each side
6x^2-5x^2 -5x +10 = 5x^2-5x^2 +4x+2
x^2 -5x +10 = 4x+2
Subtract 4x from each side
x^2 -5x-4x +10 = 4x-4x+2
x^2 -9x +10 = 2
Subtract 2 from each side
x^2 -9x +10-2 = 2-2
x^2 -9x +8 =0
Factor
What 2 numbers multiply to 8 and add to -9
-8 *-1 = 8
-8-1 = -9
(x-8) (x-1) =0
Using the zero product property
x-8 = 0 x-1 =0
x=8 x=1