Solve a^36-3850/2023

Question

Simplify the expression

6 a^{3} - \frac{550}{289}

Evaluate

a^{3} \times 6 - \frac{3850}{2023}

Cancel out the common factor 7

a^{3} \times 6 - \frac{550}{289}

Solution

6 a^{3} - \frac{550}{289}

Show Solution

\frac{2}{289} (867 a^{3} - 275)

Evaluate

a^{3} \times 6 - \frac{3850}{2023}

Cancel out the common factor 7

a^{3} \times 6 - \frac{550}{289}

Use the commutative property to reorder the terms

6 a^{3} - \frac{550}{289}

Solution

\frac{2}{289} (867 a^{3} - 275)

Show Solution

a = \frac{3 275 \times 86 7 ^{2}}{867}

Alternative Form

a \approx 0.681979

Evaluate

a^{3} \times 6 - \frac{3850}{2023}

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

a^{3} \times 6 - \frac{3850}{2023} = 0

Cancel out the common factor 7

a^{3} \times 6 - \frac{550}{289} = 0

Use the commutative property to reorder the terms

6 a^{3} - \frac{550}{289} = 0

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

6 a^{3} = 0 + \frac{550}{289}

Add the terms

6 a^{3} = \frac{550}{289}

Multiply by the reciprocal

6 a^{3} \times \frac{1}{6} = \frac{550}{289} \times \frac{1}{6}

Multiply

a^{3} = \frac{550}{289} \times \frac{1}{6}

Multiply

More Steps

Evaluate

\frac{550}{289} \times \frac{1}{6}

Reduce the numbers

\frac{275}{289} \times \frac{1}{3}

To multiply the fractions,multiply the numerators and denominators separately

\frac{275}{289 \times 3}

Multiply the numbers

\frac{275}{867}

a^{3} = \frac{275}{867}

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

3 a^{3} = 3 \frac{275}{867}

Calculate

a = 3 \frac{275}{867}

Solution

More Steps

Evaluate

3 \frac{275}{867}

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

\frac{3 275}{3 867}

Multiply by the Conjugate

\frac{3 275 \times 3 86 7 ^{2}}{3 867 \times 3 86 7 ^{2}}

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

\frac{3 275 \times 86 7 ^{2}}{3 867 \times 3 86 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

3867 \times 3 86 7^{2}

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

3 867 \times 86 7^{2}

Calculate the product

3 86 7^{3}

Reduce the index of the radical and exponent with 3

867

\frac{3 275 \times 86 7 ^{2}}{867}

a = \frac{3 275 \times 86 7 ^{2}}{867}

Alternative Form

a \approx 0.681979

Show Solution