What is the answer to 0=1-sqrt(q^2-11)+4 ?

The answer to 0=1-sqrt(q^2-11)+4 is q=6,q=-6

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0=1-sqrt(q^2-11)+4

0 = 1 - q^{2} - 11 + 4

q = 6, q = - 6

Solution steps

0 = 1 - q^{2} - 11 + 4

Expand

1 - q^{2} - 11 + 4 : - q^{2} - 11 + 5

0 = - q^{2} - 11 + 5

Move

q^{2} - 11

to the left side

q^{2} - 11 = 5

Square both sides:

q^{2} - 11 = 25

q^{2} - 11 = 25

Solve

q^{2} - 11 = 25 : q = 6, q = - 6

q = 6, q = - 6

Verify Solutions:

q = 6

True

, q = - 6

True

The solutions are

q = 6, q = - 6

x + 98 = x + 8

y + 10 - 7 = - 3

(x + 6)^{\frac{1}{2}} = x

x^{\frac{2}{3}} = \frac{x + 4}{3}

3 = \frac{k}{3}

What is the answer to 0=1-sqrt(q^2-11)+4 ?
The answer to 0=1-sqrt(q^2-11)+4 is q=6,q=-6
Solve for q: 0=1-sqrt(q^2-11)+4
The solution is q=6,q=-6