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

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

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

2 x + 5 - x + 2 = 1

x = 2, x = - 2

Solution steps

2 x + 5 - x + 2 = 1

Remove square roots

x^{2} + 4 x + 4 = 4 x + 8

Solve

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

x = 2, x = - 2

Verify Solutions:

x = 2

True

, x = - 2

True

The solutions are

x = 2, x = - 2

110 - n = n

x - 3 = 2 x + 2

4 n = n

x^{2} - 9 - 3 = 0

x + 1 - x = 1

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