Solve using the Square Root Property (23-x^2)/8=0

$\frac{23 - x^{2}}{8} = 0$

Multiply both sides of the equation by $8$ .

$23 - x^{2} = 0 \cdot (8)$

Remove parentheses.

$23 - x^{2} = 0 \cdot (8)$

Multiply $0$ by $8$ .

$23 - x^{2} = 0$

Subtract $23$ from both sides of the equation.

$- x^{2} = - 23$

Multiply each term in $- x^{2} = - 23$ by $- 1$

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Multiply each term in $- x^{2} = - 23$ by $- 1$ .

$(- x^{2}) \cdot - 1 = (- 23) \cdot - 1$

Multiply $(- x^{2}) \cdot - 1$ .

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Multiply $- 1$ by $- 1$ .

$1 x^{2} = (- 23) \cdot - 1$

Multiply $x^{2}$ by $1$ .

$x^{2} = (- 23) \cdot - 1$

Multiply $- 23$ by $- 1$ .

$x^{2} = 23$

Take the square root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt{23}$

The complete solution is the result of both the positive and negative portions of the solution.

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First, use the positive value of the $\pm$ to find the first solution.

$x = \sqrt{23}$

Next, use the negative value of the $\pm$ to find the second solution.

$x = - \sqrt{23}$

The complete solution is the result of both the positive and negative portions of the solution.

$x = \sqrt{23}, - \sqrt{23}$

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt{23}, - \sqrt{23}$

Decimal Form:

$x = 4.79583152 \dots, - 4.79583152 \dots$

Solve using the Square Root Property (23-x^2)/8=0

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