What is the answer to sqrt(x^2-9)=3x-11 ?

The answer to sqrt(x^2-9)=3x-11 is x=5

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sqrt(x^2-9)=3x-11

x^{2} - 9 = 3 x - 11

x = 5

Solution steps

x^{2} - 9 = 3 x - 11

Square both sides:

x^{2} - 9 = 9 x^{2} - 66 x + 121

x^{2} - 9 = 9 x^{2} - 66 x + 121

Solve

x^{2} - 9 = 9 x^{2} - 66 x + 121 : x = 5, x = \frac{13}{4}

x = 5, x = \frac{13}{4}

Verify Solutions:

x = 5

True

, x = \frac{13}{4}

False

The solution is

x = 5

1 + x = x

1 - \frac{9}{x ^{\frac{2}{3}}} = 0

\frac{4}{4 x + 6} = 2

m + 3 - 2 = 9

x - 10 = 0

What is the answer to sqrt(x^2-9)=3x-11 ?
The answer to sqrt(x^2-9)=3x-11 is x=5
Solve for x: sqrt(x^2-9)=3x-11
The solution is x=5