What is the answer to (x^2)/2 =sqrt(8-x^2) ?

The answer to (x^2)/2 =sqrt(8-x^2) is x=2,x=-2

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(x^2)/2 =sqrt(8-x^2)

\frac{x ^{2}}{2} = 8 - x^{2}

x = 2, x = - 2

Solution steps

\frac{x ^{2}}{2} = 8 - x^{2}

Multiply both sides by

2

\frac{x ^{2}}{2} \cdot 2 = 8 - x^{2} \cdot 2

Simplify

x^{2} = 8 - x^{2} \cdot 2

Square both sides:

x^{4} = 32 - 4 x^{2}

x^{4} = 32 - 4 x^{2}

Solve

x^{4} = 32 - 4 x^{2} : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions:

x = 2

True

, x = - 2

True

The solutions are

x = 2, x = - 2

11 = 2 + 90 - x

4 X - 3 = 5

2 n + 9 = 4 - 4 n + 1

y - 4 y - 5 = 0

- x + x^{2} = 0

What is the answer to (x^2)/2 =sqrt(8-x^2) ?
The answer to (x^2)/2 =sqrt(8-x^2) is x=2,x=-2
Solve for x: (x^2)/2 =sqrt(8-x^2)
The solution is x=2,x=-2