What is the answer to x^2-3sqrt(x^2-15)=33 ?

The answer to x^2-3sqrt(x^2-15)=33 is x=sqrt(51),x=-sqrt(51)

Solve for x: x^2-3sqrt(x^2-15)=33

The solution is x=sqrt(51),x=-sqrt(51)

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Popular >

x^{2} - 3 x^{2} - 15 = 33

x = 51, x = - 51

Decimal

x = 7.14142 \dots, x = - 7.14142 \dots

Solution steps

x^{2} - 3 x^{2} - 15 = 33

Remove square roots

9 x^{2} - 135 = 1089 - 66 x^{2} + x^{4}

Solve

9 x^{2} - 135 = 1089 - 66 x^{2} + x^{4} : x = 51, x = - 51, x = 26, x = - 26

x = 51, x = - 51, x = 26, x = - 26

Verify Solutions:

x = 51

True

, x = - 51

True

, x = 26

False

, x = - 26

False

The solutions are

x = 51, x = - 51

5 - \frac{w}{4} = w + 8

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

2 y = 0

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

8 - x + 1 = x - 1

What is the answer to x^2-3sqrt(x^2-15)=33 ?
The answer to x^2-3sqrt(x^2-15)=33 is x=sqrt(51),x=-sqrt(51)
Solve for x: x^2-3sqrt(x^2-15)=33
The solution is x=sqrt(51),x=-sqrt(51)