What is the answer to sqrt(3x+7)-sqrt(x+1)=2 ?

The answer to sqrt(3x+7)-sqrt(x+1)=2 is x=3,x=-1

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sqrt(3x+7)-sqrt(x+1)=2

3 x + 7 - x + 1 = 2

x = 3, x = - 1

Solution steps

3 x + 7 - x + 1 = 2

Remove square roots

4 x^{2} + 8 x + 4 = 16 x + 16

Solve

4 x^{2} + 8 x + 4 = 16 x + 16 : x = 3, x = - 1

x = 3, x = - 1

Verify Solutions:

x = 3

True

, x = - 1

True

The solutions are

x = 3, x = - 1

y, y^{\frac{1}{2}} = x

x = 11 - 2 x + 4

(2 x - 4)^{\frac{3}{2}} - 9 = 503

2 x + x + 4 = 13

x = 1 + x

What is the answer to sqrt(3x+7)-sqrt(x+1)=2 ?
The answer to sqrt(3x+7)-sqrt(x+1)=2 is x=3,x=-1
Solve for x: sqrt(3x+7)-sqrt(x+1)=2
The solution is x=3,x=-1