What is the answer to sqrt(5x-1)+sqrt(x+2)=5 ?

The answer to sqrt(5x-1)+sqrt(x+2)=5 is x=2

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sqrt(5x-1)+sqrt(x+2)=5

5 x - 1 + x + 2 = 5

x = 2

Solution steps

5 x - 1 + x + 2 = 5

Remove square roots

16 x^{2} - 224 x + 784 = 100 x + 200

Solve

16 x^{2} - 224 x + 784 = 100 x + 200 : x = \frac{73}{4}, x = 2

x = \frac{73}{4}, x = 2

Verify Solutions:

x = \frac{73}{4}

False

, x = 2

True

The solution is

x = 2

x + 1 - 1 - x = 0

\frac{1}{2} x^{- \frac{1}{2}} = 0

8 x - 8 = 8

- x + 400 = \frac{x}{60} + 5

4 x^{2} + 2 x + 9 = 9

What is the answer to sqrt(5x-1)+sqrt(x+2)=5 ?
The answer to sqrt(5x-1)+sqrt(x+2)=5 is x=2
Solve for x: sqrt(5x-1)+sqrt(x+2)=5
The solution is x=2