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

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

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sqrt(q+2)+1=sqrt(3q+7)

q + 2 + 1 = 3 q + 7

q = - 1, q = - 2

Solution steps

q + 2 + 1 = 3 q + 7

Remove square roots

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

Solve

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

q = - 1, q = - 2

Verify Solutions:

q = - 1

True

, q = - 2

True

The solutions are

q = - 1, q = - 2

x - 11 x + 28 = 0

1 - 2 x + x + 5 = 4

7 - 3 x - x = 7

x^{0.5} = 5

6 w + 7 w^{\frac{1}{2}} - 20 = 0

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