Solve M^39019/2-234

Question

Simplify the expression

\frac{9019}{2} M^{3} - 234

Evaluate

M^{3} \times \frac{9019}{2} - 234

Solution

\frac{9019}{2} M^{3} - 234

Show Solution

\frac{1}{2} (9019 M^{3} - 468)

Evaluate

M^{3} \times \frac{9019}{2} - 234

Use the commutative property to reorder the terms

\frac{9019}{2} M^{3} - 234

Solution

\frac{1}{2} (9019 M^{3} - 468)

Show Solution

M = \frac{3 468 \times 901 9 ^{2}}{9019}

Alternative Form

M \approx 0.372989

Evaluate

M^{3} \times \frac{9019}{2} - 234

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

M^{3} \times \frac{9019}{2} - 234 = 0

Use the commutative property to reorder the terms

\frac{9019}{2} M^{3} - 234 = 0

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

\frac{9019}{2} M^{3} = 0 + 234

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

\frac{9019}{2} M^{3} = 234

Multiply by the reciprocal

\frac{9019}{2} M^{3} \times \frac{2}{9019} = 234 \times \frac{2}{9019}

Multiply

M^{3} = 234 \times \frac{2}{9019}

Multiply

More Steps

Evaluate

234 \times \frac{2}{9019}

Multiply the numbers

\frac{234 \times 2}{9019}

Multiply the numbers

\frac{468}{9019}

M^{3} = \frac{468}{9019}

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

3 M^{3} = 3 \frac{468}{9019}

Calculate

M = 3 \frac{468}{9019}

Solution

More Steps

Evaluate

3 \frac{468}{9019}

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

\frac{3 468}{3 9019}

Multiply by the Conjugate

\frac{3 468 \times 3 901 9 ^{2}}{3 9019 \times 3 901 9 ^{2}}

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

\frac{3 468 \times 901 9 ^{2}}{3 9019 \times 3 901 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

39019 \times 3 901 9^{2}

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

3 9019 \times 901 9^{2}

Calculate the product

3 901 9^{3}

Reduce the index of the radical and exponent with 3

9019

\frac{3 468 \times 901 9 ^{2}}{9019}

M = \frac{3 468 \times 901 9 ^{2}}{9019}

Alternative Form

M \approx 0.372989

Show Solution