What is the answer to sqrt(x+2)+sqrt(2x+5)=5 ?

The answer to sqrt(x+2)+sqrt(2x+5)=5 is x=2

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sqrt(x+2)+sqrt(2x+5)=5

x + 2 + 2 x + 5 = 5

x = 2

Solution steps

x + 2 + 2 x + 5 = 5

Remove square roots

x^{2} + 56 x + 784 = 200 x + 500

Solve

x^{2} + 56 x + 784 = 200 x + 500 : x = 142, x = 2

x = 142, x = 2

Verify Solutions:

x = 142

False

, x = 2

True

The solution is

x = 2

2 x + 2 - x + 8 = - 1

3 x + 8 = x + 2

y, y = x

4 x + 29 = x + 6

2 x - 4 - \frac{4}{2 x - 4} = 0

What is the answer to sqrt(x+2)+sqrt(2x+5)=5 ?
The answer to sqrt(x+2)+sqrt(2x+5)=5 is x=2
Solve for x: sqrt(x+2)+sqrt(2x+5)=5
The solution is x=2