Solve g^309-43-607

Question

Simplify the expression

9 g^{3} - 650

Evaluate

g^{3} \times 9 - 43 - 607

Use the commutative property to reorder the terms

9 g^{3} - 43 - 607

Solution

9 g^{3} - 650

Show Solution

g = \frac{3 1950}{3}

Alternative Form

g \approx 4.164443

Evaluate

g^{3} \times 9 - 43 - 607

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

g^{3} \times 9 - 43 - 607 = 0

Use the commutative property to reorder the terms

9 g^{3} - 43 - 607 = 0

Subtract the numbers

9 g^{3} - 650 = 0

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

9 g^{3} = 0 + 650

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

9 g^{3} = 650

Divide both sides

\frac{9 g ^{3}}{9} = \frac{650}{9}

Divide the numbers

g^{3} = \frac{650}{9}

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

3 g^{3} = 3 \frac{650}{9}

Calculate

g = 3 \frac{650}{9}

Solution

More Steps

Evaluate

3 \frac{650}{9}

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

\frac{3 650}{3 9}

Multiply by the Conjugate

\frac{3 650 \times 3 9 ^{2}}{3 9 \times 3 9 ^{2}}

Simplify

\frac{3 650 \times 3 3 3}{3 9 \times 3 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

3650 \times 333

Multiply the terms

31950 \times 3

Use the commutative property to reorder the terms

331950

\frac{3 3 1950}{3 9 \times 3 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

39 \times 3 9^{2}

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

3 9 \times 9^{2}

Calculate the product

3 9^{3}

Transform the expression

3 3^{6}

Reduce the index of the radical and exponent with 3

3^{2}

\frac{3 3 1950}{3 ^{2}}

Reduce the fraction

More Steps

Evaluate

\frac{3}{3 ^{2}}

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

\frac{1}{3 ^{2 - 1}}

Subtract the terms

\frac{1}{3 ^{1}}

Simplify

\frac{1}{3}

\frac{3 1950}{3}

g = \frac{3 1950}{3}

Alternative Form

g \approx 4.164443

Show Solution