Solve 10w^23w-1 - ScanMath

Question

Simplify the expression

30 w^{3} - 1

Evaluate

10 w^{2} \times 3 w - 1

Solution

More Steps

Evaluate

10 w^{2} \times 3 w

Multiply the terms

30 w^{2} \times w

Multiply the terms with the same base by adding their exponents

30 w^{2 + 1}

Add the numbers

30 w^{3}

30 w^{3} - 1

Show Solution

w = \frac{3 900}{30}

Alternative Form

w \approx 0.32183

Evaluate

10 w^{2} \times 3 w - 1

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

10 w^{2} \times 3 w - 1 = 0

Multiply

More Steps

Multiply the terms

10 w^{2} \times 3 w

Multiply the terms

30 w^{2} \times w

Multiply the terms with the same base by adding their exponents

30 w^{2 + 1}

Add the numbers

30 w^{3}

30 w^{3} - 1 = 0

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

30 w^{3} = 0 + 1

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

30 w^{3} = 1

Divide both sides

\frac{30 w ^{3}}{30} = \frac{1}{30}

Divide the numbers

w^{3} = \frac{1}{30}

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

3 w^{3} = 3 \frac{1}{30}

Calculate

w = 3 \frac{1}{30}

Solution

More Steps

Evaluate

3 \frac{1}{30}

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

\frac{3 1}{3 30}

Simplify the radical expression

\frac{1}{3 30}

Multiply by the Conjugate

\frac{3 3 0 ^{2}}{3 30 \times 3 3 0 ^{2}}

Simplify

\frac{3 900}{3 30 \times 3 3 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

330 \times 3 3 0^{2}

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

3 30 \times 3 0^{2}

Calculate the product

3 3 0^{3}

Reduce the index of the radical and exponent with 3

30

\frac{3 900}{30}

w = \frac{3 900}{30}

Alternative Form

w \approx 0.32183

Show Solution