Algebra Examples

$y = x^{4}$

Replace $y$ with $0$ and solve for $x$ .

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To find the roots of the equation, replace $y$ with $0$ and solve.

$0 = x^{4}$

Rewrite the equation as $x^{4} = 0$ .

$x^{4} = 0$

Take the $4 t h$ root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt[4]{0}$

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

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Simplify the right side of the equation.

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Rewrite $0$ as $0^{4}$ .

$x = \pm \sqrt[4]{0^{4}}$

Pull terms out from under the radical, assuming positive real numbers.

$x = \pm 0$

$\pm 0$ is equal to $0$ .

$x = 0$

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