SOLUTION: sqroot of (7-x) - sqroot x-6 = -1 How do i solve?

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Question 724709: sqroot of (7-x) - sqroot x-6 = -1
How do i solve?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Add to both sides:



Square both sides:



Add to both sides:



Multiply both sides by



Square both sides:



Standard form:



Solve the factorable quadratic. Check both roots in the original equation. ALWAYS check your solutions against the original equation when raising both sides to a power is a step in your solution. Raising both sides of an equation to a power often introduces extraneous roots. That is not necessarily the case here, but you MUST check for the situation.

John

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