SOLUTION: √x+35 + 7 = x

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Question 194573: √x+35 + 7 = x
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
√x+35 + 7 = x
Rearrange:
x - sqrt(x) -42 = 0
This is a quadratic in sqrt(x)
---------------------------------
Rewrite to see that:
(sqrt(x))^2 - sqrt(x) - 42 = 0
Factor:
(sqrt(x)-7)(sqrt(x)+6) = 0
Positive solution:
sqrt(x) = 7
x = 49
---
Checking:
sqrt(49)+ 35 + 7 = 49
7 + 35 + 7 = 49
49 = 49
==================
Cheers,
Stan H.

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