What is the answer to sqrt(x-2)+sqrt(2x+3)=8 ?

The answer to sqrt(x-2)+sqrt(2x+3)=8 is x=11

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sqrt(x-2)+sqrt(2x+3)=8

x - 2 + 2 x + 3 = 8

x = 11

Solution steps

x - 2 + 2 x + 3 = 8

Remove square roots

x^{2} + 138 x + 4761 = 512 x + 768

Solve

x^{2} + 138 x + 4761 = 512 x + 768 : x = 363, x = 11

x = 363, x = 11

Verify Solutions:

x = 363

False

, x = 11

True

The solution is

x = 11

x - 12 x + 35 = 0

2 - x = x + 5 + 1

2 y^{- \frac{1}{2}} = 10

y, x = - 4 - y^{2}

x + 1 = 5

What is the answer to sqrt(x-2)+sqrt(2x+3)=8 ?
The answer to sqrt(x-2)+sqrt(2x+3)=8 is x=11
Solve for x: sqrt(x-2)+sqrt(2x+3)=8
The solution is x=11