Solve x^2/3x=180 - ScanMath

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Type your math problem... x^2/3x=180

Question

Solve the equation

x = 3320

Alternative Form

x \approx 8.143253

Evaluate

\frac{x ^{2}}{3} x = 180

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} = 180

Cross multiply

x^{3} = 3 \times 180

Simplify the equation

x^{3} = 540

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

3 x^{3} = 3540

Calculate

x = 3540

Solution

More Steps

Evaluate

3540

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

3 27 \times 20

Write the number in exponential form with the base of 3

3 3^{3} \times 20

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

3 3^{3} \times 320

Reduce the index of the radical and exponent with 3

3320

x = 3320

Alternative Form

x \approx 8.143253

Show Solution

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