What is the answer to sqrt(x+8)-sqrt(2x+9)=1 ?

The answer to sqrt(x+8)-sqrt(2x+9)=1 is x=-4

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sqrt(x+8)-sqrt(2x+9)=1

x + 8 - 2 x + 9 = 1

x = - 4

Solution steps

x + 8 - 2 x + 9 = 1

Remove square roots

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

Solve

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

x = 8, x = - 4

Verify Solutions:

x = 8

False

, x = - 4

True

The solution is

x = - 4

6 x + 6 = 6

2 = \frac{x}{2}

6 x = 9 x + 9 - 3

x + 5 = 5

What is the answer to sqrt(x+8)-sqrt(2x+9)=1 ?
The answer to sqrt(x+8)-sqrt(2x+9)=1 is x=-4
Solve for x: sqrt(x+8)-sqrt(2x+9)=1
The solution is x=-4