Solve x^22x-48 - ScanMath

Question

Simplify the expression

Solution

2 x^{3} - 48

Evaluate

x^{2} \times 2 x - 48

Solution

More Steps

Evaluate

x^{2} \times 2 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 2

Add the numbers

x^{3} \times 2

Use the commutative property to reorder the terms

2 x^{3}

2 x^{3} - 48

Show Solution

Factor the expression

Factor

2 (x^{3} - 24)

Evaluate

x^{2} \times 2 x - 48

Multiply

More Steps

Evaluate

x^{2} \times 2 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 2

Add the numbers

x^{3} \times 2

Use the commutative property to reorder the terms

2 x^{3}

2 x^{3} - 48

Solution

2 (x^{3} - 24)

Show Solution

Find the roots

Find the roots of the algebra expression

x = 233

Alternative Form

x \approx 2.884499

Evaluate

x^{2} \times 2 x - 48

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

x^{2} \times 2 x - 48 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 2 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 2

Add the numbers

x^{3} \times 2

Use the commutative property to reorder the terms

2 x^{3}

2 x^{3} - 48 = 0

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

2 x^{3} = 0 + 48

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

2 x^{3} = 48

Divide both sides

\frac{2 x ^{3}}{2} = \frac{48}{2}

Divide the numbers

x^{3} = \frac{48}{2}

Divide the numbers

More Steps

Evaluate

\frac{48}{2}

Reduce the numbers

\frac{24}{1}

Calculate

24

x^{3} = 24

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

3 x^{3} = 324

Calculate

x = 324

Solution

More Steps

Evaluate

324

Write the expression as a product where the root of one of the factors can be evaluated

3 8 \times 3

Write the number in exponential form with the base of 2

3 2^{3} \times 3

The root of a product is equal to the product of the roots of each factor

3 2^{3} \times 33

Reduce the index of the radical and exponent with 3

233

x = 233

Alternative Form

x \approx 2.884499

Show Solution

X^22x 48

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression