Solve u^22u-24 - ScanMath

Question

Simplify the expression

Solution

2 u^{3} - 24

Evaluate

u^{2} \times 2 u - 24

Solution

More Steps

Evaluate

u^{2} \times 2 u

Multiply the terms with the same base by adding their exponents

u^{2 + 1} \times 2

Add the numbers

u^{3} \times 2

Use the commutative property to reorder the terms

2 u^{3}

2 u^{3} - 24

Show Solution

Factor the expression

Factor

2 (u^{3} - 12)

Evaluate

u^{2} \times 2 u - 24

Multiply

More Steps

Evaluate

u^{2} \times 2 u

Multiply the terms with the same base by adding their exponents

u^{2 + 1} \times 2

Add the numbers

u^{3} \times 2

Use the commutative property to reorder the terms

2 u^{3}

2 u^{3} - 24

Solution

2 (u^{3} - 12)

Show Solution

Find the roots

Find the roots of the algebra expression

u = 312

Alternative Form

u \approx 2.289428

Evaluate

u^{2} \times 2 u - 24

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

u^{2} \times 2 u - 24 = 0

Multiply

More Steps

Multiply the terms

u^{2} \times 2 u

Multiply the terms with the same base by adding their exponents

u^{2 + 1} \times 2

Add the numbers

u^{3} \times 2

Use the commutative property to reorder the terms

2 u^{3}

2 u^{3} - 24 = 0

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

2 u^{3} = 0 + 24

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

2 u^{3} = 24

Divide both sides

\frac{2 u ^{3}}{2} = \frac{24}{2}

Divide the numbers

u^{3} = \frac{24}{2}

Divide the numbers

More Steps

Evaluate

\frac{24}{2}

Reduce the numbers

\frac{12}{1}

Calculate

12

u^{3} = 12

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

3 u^{3} = 312

Solution

u = 312

Alternative Form

u \approx 2.289428

Show Solution

U^22u 24

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression