Solve x^2 x^2=25^2 - ScanMath

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Type your math problem... x^2 x^2=25^2

x

Question

Solve the equation

x_{1} = - 5, x_{2} = 5

Evaluate

x^{2} \times x^{2} = 2 5^{2}

Multiply the terms

More Steps

Evaluate

x^{2} \times x^{2}

Use the product rule a^{n} \times a^{m} = a^{n + m} to simplify the expression

x^{2 + 2}

Add the numbers

x^{4}

x^{4} = 2 5^{2}

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

x = \pm 4 2 5^{2}

Simplify the expression

More Steps

Evaluate

4 2 5^{2}

Transform the expression

5^{2}

Reduce the index of the radical and exponent with 2

5

x = \pm 5

Separate the equation into 2 possible cases

x = 5 x = - 5

Solution

x_{1} = - 5, x_{2} = 5

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