What is the answer to 5-sqrt(1+q)=sqrt(2q+3) ?

The answer to 5-sqrt(1+q)=sqrt(2q+3) is q=3

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5-sqrt(1+q)=sqrt(2q+3)

5 - 1 + q = 2 q + 3

q = 3

Solution steps

5 - 1 + q = 2 q + 3

Remove square roots

100 + 100 q = q^{2} - 46 q + 529

Solve

100 + 100 q = q^{2} - 46 q + 529 : q = 143, q = 3

q = 143, q = 3

Verify Solutions:

q = 143

False

, q = 3

True

The solution is

q = 3

3 x - 14 - 8 = 0

x^{\frac{4}{5}} = 16

x^{\frac{3}{2}} = 729

2 x + 10 - 2 x = 0

3 x - 8 = 5

What is the answer to 5-sqrt(1+q)=sqrt(2q+3) ?
The answer to 5-sqrt(1+q)=sqrt(2q+3) is q=3
Solve for q: 5-sqrt(1+q)=sqrt(2q+3)
The solution is q=3