Solve x^2/3x = 8 - ScanMath

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Type your math problem... x^2/3x = 8

Question

Solve the equation

x = 233

Alternative Form

x \approx 2.884499

Evaluate

\frac{x ^{2}}{3} x = 8

Multiply the terms

More Steps

Multiply the terms

\frac{x ^{2}}{3} x

Multiply the terms

\frac{x ^{2} \times x}{3}

Multiply the terms

More Steps

Evaluate

x^{2} \times x

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

x^{2 + 1}

Add the numbers

x^{3}

\frac{x ^{3}}{3}

\frac{x ^{3}}{3} = 8

Cross multiply

x^{3} = 3 \times 8

Simplify the equation

x^{3} = 24

Take the 3 -th root on both sides of the equation

3 x^{3} = 324

Calculate

x = 324

Solution

More Steps

Evaluate

324

Write the expression as a product where the root of one of the factors can be evaluated

3 8 \times 3

Write the number in exponential form with the base of 2

3 2^{3} \times 3

The root of a product is equal to the product of the roots of each factor

3 2^{3} \times 33

Reduce the index of the radical and exponent with 3

233

x = 233

Alternative Form

x \approx 2.884499

Show Solution

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