SOLUTION: -x= Square Root(-x+6) x=-3,x=2

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Question 104179This question is from textbook New York Math A
: -x= Square Root(-x+6)
x=-3,x=2 This question is from textbook New York Math A

Answer by jayanthihemkos@yahoo.com(87) About Me  (Show Source):
You can put this solution on YOUR website!
-x= Square Root(-x+6)
Square both the sides
(-x)^2 = [square root (-x+6 )]^2
x^2 = -x+6
x^2 + x-6 = 0
Factorize by middle term factorization
x^2 + 3x -2x -6 = 0
x(x+3) -2(x+3) = 0
(x-2)(x+3) = 0
x-2 = 0
x = 2
x+3 = 0
x = -3
hence x = 2, -3