1.(X-4)^2=3(X+2), 2.(X+2)^2=6(\Xd7-6)

1.(X-4)^2=3(x+2)
2.(x+2)^2=6(×-6)

Answer and Step-by-step explanation:

1. (x−4)²=3(x+2)

Simplify

x²−8x+16=3x+6

Subtract 3x+6 from both sides.

x²−8x+16−(3x+6)=3x+6−(3x+6)

x²−11x+10=0

Factor

(x−1)(x−10)=0

x−1=0 or x−10=0

x=1 or x=10

(x+2)²=6(x−6)

Simplify

x²+4x+4=6x−36

Subtract 6x-36 from both sides.

x²+4x+4−(6x−36)=6x−36−(6x−36)

x²−2x+40=0

x=-b±√b2−4ac/2a

x= −(−2)±√(−2)2−4(1)(40)/2(1)

x=( 2±√−156)/2

X= NO REAL SOLUTION

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