What is the answer to 3sqrt(x+1)-sqrt(7x+8)=1 ?

The answer to 3sqrt(x+1)-sqrt(7x+8)=1 is x=8

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3sqrt(x+1)-sqrt(7x+8)=1

3 x + 1 - 7 x + 8 = 1

x = 8

Solution steps

3 x + 1 - 7 x + 8 = 1

Remove square roots

4 x^{2} = 28 x + 32

Solve

4 x^{2} = 28 x + 32 : x = 8, x = - 1

x = 8, x = - 1

Verify Solutions:

x = 8

True

, x = - 1

False

The solution is

x = 8

7 t + 8 = - 8

(x^{2} - 4) 1 - 7 x = 0

4 x + 4 = 28

y^{\frac{3}{2}} = 6 y

2 x + x + 1 = 0

What is the answer to 3sqrt(x+1)-sqrt(7x+8)=1 ?
The answer to 3sqrt(x+1)-sqrt(7x+8)=1 is x=8
Solve for x: 3sqrt(x+1)-sqrt(7x+8)=1
The solution is x=8