Solve (x 1/2)^2=1

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Type your math problem... (x 1/2)^2=1

Question

Solve the quadratic equation

Solve using square roots

Solve by factoring

Solve using the quadratic formula

x_{1} = - 2, x_{2} = 2

Evaluate

(x \times \frac{1}{2})^{2} = 1

Simplify

More Steps

Evaluate

(x \times \frac{1}{2})^{2}

Use the commutative property to reorder the terms

(\frac{1}{2} x)^{2}

To raise a product to a power,raise each factor to that power

(\frac{1}{2})^{2} x^{2}

Evaluate the power

More Steps

Evaluate

(\frac{1}{2})^{2}

To raise a fraction to a power,raise the numerator and denominator to that power

\frac{1 ^{2}}{2 ^{2}}

Evaluate the power

\frac{1}{2 ^{2}}

Evaluate the power

\frac{1}{4}

\frac{1}{4} x^{2}

\frac{1}{4} x^{2} = 1

Divide both sides

\frac{\frac{1}{4} x ^{2}}{\frac{1}{4}} = \frac{1}{\frac{1}{4}}

Divide the numbers

x^{2} = 4

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 4

Simplify the expression

x = \pm 2

Separate the equation into 2 possible cases

x = 2 x = - 2

Solution

x_{1} = - 2, x_{2} = 2

Show Solution

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