SOLUTION: Can someone please explain this? This was a challenge question from the instructor.
√x - √(x - 5) = 1
Algebra.Com
Question 467547: Can someone please explain this? This was a challenge question from the instructor.
√x - √(x - 5) = 1
Found 2 solutions by mananth, stanbon:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
square both sides
square both side
-24x+20x=-36
-4x=-36
x=9
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Can someone please explain this? This was a challenge question from the instructor.
√x - √(x - 5) = 1
----
Square both sides to get:
x - 2sqrt(x^2-5x) + (x-5) = 1
----
2x-2sqrt(x^2-5x) = 6
---
-2sqrt(x^2-5x) = -2x+6
----
-sqrt(x^2-5x) = -x+3
---
Square both sides to get:
x^2-5x = x^2-6x+9
----
x = 9
-----
Cheers,
Stan H.
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