Solve 3k^2 k-1 - ScanMath

Question

Simplify the expression

3 k^{3} - 1

Evaluate

3 k^{2} \times k - 1

Solution

More Steps

Evaluate

3 k^{2} \times k

Multiply the terms with the same base by adding their exponents

3 k^{2 + 1}

Add the numbers

3 k^{3}

3 k^{3} - 1

Show Solution

k = \frac{3 9}{3}

Alternative Form

k \approx 0.693361

Evaluate

3 k^{2} \times k - 1

To find the roots of the expression,set the expression equal to 0

3 k^{2} \times k - 1 = 0

Multiply

More Steps

Multiply the terms

3 k^{2} \times k

Multiply the terms with the same base by adding their exponents

3 k^{2 + 1}

Add the numbers

3 k^{3}

3 k^{3} - 1 = 0

Move the constant to the right-hand side and change its sign

3 k^{3} = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

3 k^{3} = 1

Divide both sides

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

Divide the numbers

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

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

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

Calculate

k = 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}

k = \frac{3 9}{3}

Alternative Form

k \approx 0.693361

Show Solution