Solve 2w^2w-9 - ScanMath

Question

Simplify the expression

2 w^{3} - 9

Evaluate

2 w^{2} \times w - 9

Solution

More Steps

Evaluate

2 w^{2} \times w

Multiply the terms with the same base by adding their exponents

2 w^{2 + 1}

Add the numbers

2 w^{3}

2 w^{3} - 9

Show Solution

w = \frac{3 36}{2}

Alternative Form

w \approx 1.650964

Evaluate

2 w^{2} \times w - 9

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

2 w^{2} \times w - 9 = 0

Multiply

More Steps

Multiply the terms

2 w^{2} \times w

Multiply the terms with the same base by adding their exponents

2 w^{2 + 1}

Add the numbers

2 w^{3}

2 w^{3} - 9 = 0

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

2 w^{3} = 0 + 9

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

2 w^{3} = 9

Divide both sides

\frac{2 w ^{3}}{2} = \frac{9}{2}

Divide the numbers

w^{3} = \frac{9}{2}

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

3 w^{3} = 3 \frac{9}{2}

Calculate

w = 3 \frac{9}{2}

Solution

More Steps

Evaluate

3 \frac{9}{2}

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

\frac{3 9}{3 2}

Multiply by the Conjugate

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

Simplify

\frac{3 9 \times 3 4}{3 2 \times 3 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

39 \times 34

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

3 9 \times 4

Calculate the product

336

\frac{3 36}{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 36}{2}

w = \frac{3 36}{2}

Alternative Form

w \approx 1.650964

Show Solution