Solve -8=-5y^3y - ScanMath

Question

Solve the equation

y_{1} = - \frac{4 1000}{5}, y_{2} = \frac{4 1000}{5}

Alternative Form

y_{1} \approx - 1.124683, y_{2} \approx 1.124683

Evaluate

- 8 = - 5 y^{3} \times y

Multiply

More Steps

Evaluate

- 5 y^{3} \times y

Multiply the terms with the same base by adding their exponents

- 5 y^{3 + 1}

Add the numbers

- 5 y^{4}

- 8 = - 5 y^{4}

Swap the sides of the equation

- 5 y^{4} = - 8

Change the signs on both sides of the equation

5 y^{4} = 8

Divide both sides

\frac{5 y ^{4}}{5} = \frac{8}{5}

Divide the numbers

y^{4} = \frac{8}{5}

Take the root of both sides of the equation and remember to use both positive and negative roots

y = \pm 4 \frac{8}{5}

Simplify the expression

More Steps

Evaluate

4 \frac{8}{5}

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

\frac{4 8}{4 5}

Multiply by the Conjugate

\frac{4 8 \times 4 5 ^{3}}{4 5 \times 4 5 ^{3}}

Simplify

\frac{4 8 \times 4 125}{4 5 \times 4 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

48 \times 4125

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

4 8 \times 125

Calculate the product

41000

\frac{4 1000}{4 5 \times 4 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

45 \times 4 5^{3}

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

4 5 \times 5^{3}

Calculate the product

4 5^{4}

Reduce the index of the radical and exponent with 4

5

\frac{4 1000}{5}

y = \pm \frac{4 1000}{5}

Separate the equation into 2 possible cases

y = \frac{4 1000}{5} y = - \frac{4 1000}{5}

Solution

y_{1} = - \frac{4 1000}{5}, y_{2} = \frac{4 1000}{5}

Alternative Form

y_{1} \approx - 1.124683, y_{2} \approx 1.124683

Show Solution