Solve 4x^3=2 - ScanMath

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Type your math problem... 4x^3=2

Question

Solve the equation

x = \frac{3 4}{2}

Alternative Form

x \approx 0.793701

Evaluate

4 x^{3} = 2

Divide both sides

\frac{4 x ^{3}}{4} = \frac{2}{4}

Divide the numbers

x^{3} = \frac{2}{4}

Cancel out the common factor 2

x^{3} = \frac{1}{2}

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

3 x^{3} = 3 \frac{1}{2}

Calculate

x = 3 \frac{1}{2}

Solution

More Steps

Evaluate

3 \frac{1}{2}

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

\frac{3 1}{3 2}

Simplify the radical expression

\frac{1}{3 2}

Multiply by the Conjugate

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

Simplify

\frac{3 4}{3 2 \times 3 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

32 \times 3 2^{2}

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

3 2 \times 2^{2}

Calculate the product

3 2^{3}

Reduce the index of the radical and exponent with 3

2

\frac{3 4}{2}

x = \frac{3 4}{2}

Alternative Form

x \approx 0.793701

Show Solution

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