SOLUTION: sqrt(x)+sqrt(x-20)=10

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Question 638713: sqrt(x)+sqrt(x-20)=10
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
Answer by MathTherapy(10556) About Me  (Show Source):
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sqrt(x)+sqrt(x-20)=10

sqrt%28x%29+%2B+sqrt%28x+-+20%29+=+10

sqrt%28x+-+20%29+=+10+-+sqrt%28x%29

%28sqrt%28x+-+20%29%29%5E2+=+%2810+-+sqrt%28x%29%29%5E2 ----- Squaring both sides of equation

x+-+20+=+100+-+20%28sqrt%28x%29%29+%2B+%28sqrt%28x%29%29%5E2

x+-+20+=+100+-+20%28sqrt%28x%29%29+%2B+x

20%28sqrt%28x%29%29+=+x+%2B+100+-+x+%2B+20

20%28sqrt%28x%29%29+=+120

sqrt%28x%29+=+120%2F20

sqrt%28x%29+=+6

%28sqrt%28x%29%29%5E2+=+6%5E2 ---- Squaring both sides of equation

highlight_green%28x+=+36%29

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