Solve m^2 8m-9 - ScanMath

Question

Simplify the expression

8 m^{3} - 9

Evaluate

m^{2} \times 8 m - 9

Solution

More Steps

Evaluate

m^{2} \times 8 m

Multiply the terms with the same base by adding their exponents

m^{2 + 1} \times 8

Add the numbers

m^{3} \times 8

Use the commutative property to reorder the terms

8 m^{3}

8 m^{3} - 9

Show Solution

m = \frac{3 9}{2}

Alternative Form

m \approx 1.040042

Evaluate

m^{2} \times 8 m - 9

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

m^{2} \times 8 m - 9 = 0

Multiply

More Steps

Multiply the terms

m^{2} \times 8 m

Multiply the terms with the same base by adding their exponents

m^{2 + 1} \times 8

Add the numbers

m^{3} \times 8

Use the commutative property to reorder the terms

8 m^{3}

8 m^{3} - 9 = 0

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

8 m^{3} = 0 + 9

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

8 m^{3} = 9

Divide both sides

\frac{8 m ^{3}}{8} = \frac{9}{8}

Divide the numbers

m^{3} = \frac{9}{8}

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

3 m^{3} = 3 \frac{9}{8}

Calculate

m = 3 \frac{9}{8}

Solution

More Steps

Evaluate

3 \frac{9}{8}

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

\frac{3 9}{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 9}{2}

m = \frac{3 9}{2}

Alternative Form

m \approx 1.040042

Show Solution