Solve 1=3x^3 - ScanMath

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Type your math problem... 1=3x^3

Question

Solve the equation

x = \frac{3 9}{3}

Alternative Form

x \approx 0.693361

Evaluate

1 = 3 x^{3}

Swap the sides of the equation

3 x^{3} = 1

Divide both sides

\frac{3 x ^{3}}{3} = \frac{1}{3}

Divide the numbers

x^{3} = \frac{1}{3}

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

3 x^{3} = 3 \frac{1}{3}

Calculate

x = 3 \frac{1}{3}

Solution

More Steps

Evaluate

3 \frac{1}{3}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 1}{3 3}

Simplify the radical expression

\frac{1}{3 3}

Multiply by the Conjugate

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

Simplify

\frac{3 9}{3 3 \times 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 3 3^{2}

The product of roots with the same index is equal to the root of the product

3 3 \times 3^{2}

Calculate the product

3 3^{3}

Reduce the index of the radical and exponent with 3

3

\frac{3 9}{3}

x = \frac{3 9}{3}

Alternative Form

x \approx 0.693361

Show Solution

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