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What is the solution to the equation below. square root x - 6 = x - 12

What is the solution to the equation below. square root x - 6 = x - 12-example-1
User Kelcey
by
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2 Answers

7 votes


\\ \rm\hookrightarrow √(x-6)=x-12


\\ \rm\hookrightarrow x-6=(x-12)^2


\\ \rm\hookrightarrow x-6=x^2-24x+144


\\ \rm\hookrightarrow x^2-25x+150=0


\\ \rm\hookrightarrow x^2-10x-15x+150=0


\\ \rm\hookrightarrow (x-10)(x-15)=0


\\ \rm\hookrightarrow x=15\:or \:10

User MEnf
by
4.3k points
9 votes

Answer:


x = 15,10 || C and D is the correct choices.

Explanation:


√(x-6)=x-12


x-6 =(x-12)^2


x-6 = x^2 -24x +144


x^2 -24x -x +144 +6 = 0


x^2 - 25x + 150= 0


x^2 -15x -10x +150=0


x(x-15)-10(x-15)=0


(x-15)(x-10) = 0


x = 15,10

User Echox
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3.9k points