Solve 3w^2 w-25 - ScanMath

Question

Simplify the expression

3 w^{3} - 25

Evaluate

3 w^{2} \times w - 25

Solution

More Steps

Evaluate

3 w^{2} \times w

Multiply the terms with the same base by adding their exponents

3 w^{2 + 1}

Add the numbers

3 w^{3}

3 w^{3} - 25

Show Solution

w = \frac{3 225}{3}

Alternative Form

w \approx 2.027401

Evaluate

3 w^{2} \times w - 25

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

3 w^{2} \times w - 25 = 0

Multiply

More Steps

Multiply the terms

3 w^{2} \times w

Multiply the terms with the same base by adding their exponents

3 w^{2 + 1}

Add the numbers

3 w^{3}

3 w^{3} - 25 = 0

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

3 w^{3} = 0 + 25

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

3 w^{3} = 25

Divide both sides

\frac{3 w ^{3}}{3} = \frac{25}{3}

Divide the numbers

w^{3} = \frac{25}{3}

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

3 w^{3} = 3 \frac{25}{3}

Calculate

w = 3 \frac{25}{3}

Solution

More Steps

Evaluate

3 \frac{25}{3}

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

\frac{3 25}{3 3}

Multiply by the Conjugate

\frac{3 25 \times 3 3 ^{2}}{3 3 \times 3 3 ^{2}}

Simplify

\frac{3 25 \times 3 9}{3 3 \times 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

325 \times 39

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

3 25 \times 9

Calculate the product

3225

\frac{3 225}{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{3 225}{3}

w = \frac{3 225}{3}

Alternative Form

w \approx 2.027401

Show Solution