Solve 1 b^20231 c^20241=a^2022 b^2023 c^20241

Evaluate

1 \times b^{2} \times 231 c^{2} \times 241 = a^{2} \times 22 b^{2} \times 23 c^{2} \times 241

Simplify

1 \times b^{2} \times 231 c^{2} = a^{2} \times 22 b^{2} \times 23 c^{2}

Multiply the terms

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231 b^{2} c^{2} = a^{2} \times 22 b^{2} \times 23 c^{2}

Multiply

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231 b^{2} c^{2} = 506 a^{2} b^{2} c^{2}

Rewrite the expression

231 b^{2} c^{2} = 506 b^{2} c^{2} a^{2}

Swap the sides of the equation

506 b^{2} c^{2} a^{2} = 231 b^{2} c^{2}

Divide both sides

\frac{506 b ^{2} c ^{2} a ^{2}}{506 b ^{2} c ^{2}} = \frac{231 b ^{2} c ^{2}}{506 b ^{2} c ^{2}}

Divide the numbers

a^{2} = \frac{231 b ^{2} c ^{2}}{506 b ^{2} c ^{2}}

Divide the numbers

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a^{2} = \frac{21}{46}

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

a = \pm \frac{21}{46}

Simplify the expression

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a = \pm \frac{966}{46}

Solution

a = \frac{966}{46} a = - \frac{966}{46}

Solve the equation