SOLUTION: Solve.
The square root of x-1 = x-3
I got as far as x=x^2-6x+10 but don't know what to do next. Please explain.
Thank you.
Algebra.Com
Question 87473: Solve.
The square root of x-1 = x-3
I got as far as x=x^2-6x+10 but don't know what to do next. Please explain.
Thank you.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Now, since this is a quadratic equation, you must set it equal to zero by subtracting x and adding +1 to each side:
This factors! By the way in radical equations, they ALWAYS factor!!
x=5 or x=2
You MUST check the answers, since you squared both sides of the equation!!
Check: x=5
It checks!!
Check: x=2
It does NOT check!!
You must reject the value of x=2.
Final answer is x=5 only!
R^2 Retired from SCC
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