What is the answer to sqrt(5+2q)-sqrt(q+3)=2 ?

The answer to sqrt(5+2q)-sqrt(q+3)=2 is q=22

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sqrt(5+2q)-sqrt(q+3)=2

5 + 2 q - q + 3 = 2

q = 22

Solution steps

5 + 2 q - q + 3 = 2

Remove square roots

q^{2} - 4 q + 4 = 16 q + 48

Solve

q^{2} - 4 q + 4 = 16 q + 48 : q = 22, q = - 2

q = 22, q = - 2

Verify Solutions:

q = 22

True

, q = - 2

False

The solution is

q = 22

x + 4 = 0

2 = \frac{m}{4}

x^{2} + 4 = 0

5 x - 5 + x + 3 = 2

What is the answer to sqrt(5+2q)-sqrt(q+3)=2 ?
The answer to sqrt(5+2q)-sqrt(q+3)=2 is q=22
Solve for q: sqrt(5+2q)-sqrt(q+3)=2
The solution is q=22