What is the answer to sqrt(2x-3)-sqrt(x+2)=1 ?

The answer to sqrt(2x-3)-sqrt(x+2)=1 is x=14

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sqrt(2x-3)-sqrt(x+2)=1

2 x - 3 - x + 2 = 1

x = 14

Solution steps

2 x - 3 - x + 2 = 1

Remove square roots

x^{2} - 12 x + 36 = 4 x + 8

Solve

x^{2} - 12 x + 36 = 4 x + 8 : x = 14, x = 2

x = 14, x = 2

Verify Solutions:

x = 14

True

, x = 2

False

The solution is

x = 14

y = \frac{y ^{2}}{8}

(x - 2)^{\frac{1}{4}} = 2

4 x = 16 x

y = y - 2

What is the answer to sqrt(2x-3)-sqrt(x+2)=1 ?
The answer to sqrt(2x-3)-sqrt(x+2)=1 is x=14
Solve for x: sqrt(2x-3)-sqrt(x+2)=1
The solution is x=14