SOLUTION: Please help me to solve this equation: {{{sqrt(x+6)+sqrt(x)=4}}}

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Question 594243: Please help me to solve this equation:
sqrt%28x%2B6%29%2Bsqrt%28x%29=4
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%2B6%29%2Bsqrt%28x%29=4
square both sides
x%2B6+%2B+2sqrt%28%28x%2B6%29%2A%28x%29%29%2Bx=16
2x%2B6+%2B2sqrt%28%28x%2B6%29%2A%28x%29%29=16
2sqrt%28%28x%2B6%29%2A%28x%29%29=+16-6-2x

square both sides
4x%28x%2B6%29=+%2810-2x%29%5E2
4x%5E2%2B24x=100-40x%2B4x%5E2
64x=100
x= 100/64=25/16