Solve x^2 8x-23 - ScanMath

Question

Simplify the expression

8 x^{3} - 23

Evaluate

x^{2} \times 8 x - 23

Solution

More Steps

Evaluate

x^{2} \times 8 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 8

Add the numbers

x^{3} \times 8

Use the commutative property to reorder the terms

8 x^{3}

8 x^{3} - 23

Show Solution

x = \frac{3 23}{2}

Alternative Form

x \approx 1.421933

Evaluate

x^{2} \times 8 x - 23

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

x^{2} \times 8 x - 23 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 8 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 8

Add the numbers

x^{3} \times 8

Use the commutative property to reorder the terms

8 x^{3}

8 x^{3} - 23 = 0

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

8 x^{3} = 0 + 23

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

8 x^{3} = 23

Divide both sides

\frac{8 x ^{3}}{8} = \frac{23}{8}

Divide the numbers

x^{3} = \frac{23}{8}

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

3 x^{3} = 3 \frac{23}{8}

Calculate

x = 3 \frac{23}{8}

Solution

More Steps

Evaluate

3 \frac{23}{8}

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

\frac{3 23}{3 8}

Simplify the radical expression

More Steps

Evaluate

38

Write the number in exponential form with the base of 2

3 2^{3}

Reduce the index of the radical and exponent with 3

2

\frac{3 23}{2}

x = \frac{3 23}{2}

Alternative Form

x \approx 1.421933

Show Solution