What is the answer to sqrt(2x+5)-sqrt(x-2)=3 ?

The answer to sqrt(2x+5)-sqrt(x-2)=3 is x=38,x=2

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sqrt(2x+5)-sqrt(x-2)=3

2 x + 5 - x - 2 = 3

x = 38, x = 2

Solution steps

2 x + 5 - x - 2 = 3

Remove square roots

x^{2} - 4 x + 4 = 36 x - 72

Solve

x^{2} - 4 x + 4 = 36 x - 72 : x = 38, x = 2

x = 38, x = 2

Verify Solutions:

x = 38

True

, x = 2

True

The solutions are

x = 38, x = 2

x^{2} + 49 = x + 5

x + x = 1

x - 9 - 3 x = 0

5 x + 1 - x = 5

What is the answer to sqrt(2x+5)-sqrt(x-2)=3 ?
The answer to sqrt(2x+5)-sqrt(x-2)=3 is x=38,x=2
Solve for x: sqrt(2x+5)-sqrt(x-2)=3
The solution is x=38,x=2