Solve r^3/8 r1-1/4

Evaluate

\frac{r ^{3}}{8} r \times 1 - \frac{1}{4}

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

\frac{r ^{3}}{8} r \times 1 - \frac{1}{4} = 0

Multiply the terms

More Steps

\frac{r ^{4}}{8} - \frac{1}{4} = 0

Subtract the terms

More Steps

\frac{r ^{4} - 2}{8} = 0

Simplify

r^{4} - 2 = 0

Move the constant to the right side

r^{4} = 2

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

r = \pm 42

Separate the equation into 2 possible cases

r = 42 r = - 42

Solution

r_{1} = - 42, r_{2} = 42

Alternative Form

r_{1} \approx - 1.189207, r_{2} \approx 1.189207

Simplify the expression