What are the solutions to the equation 2= 1/4 r^3 ?

The solutions to the equation 2= 1/4 r^3 are r=2,r=-1+sqrt(3)i,r=-1-sqrt(3)i

Find the zeros of 2= 1/4 r^3

The zeros of 2= 1/4 r^3 are r=2,r=-1+sqrt(3)i,r=-1-sqrt(3)i

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2 = \frac{1}{4} r^{3}

r = 2, r = - 1 + 3 i, r = - 1 - 3 i

Solution steps

2 = \frac{1}{4} r^{3}

Switch sides

\frac{1}{4} r^{3} = 2

Multiply both sides by

4

r^{3} = 8

For

x^{3} = f (a)

the solutions are

Simplify

r = 2, r = - 1 + 3 i, r = - 1 - 3 i

2 x (x + 1) (x^{2} - 36) = 0

x^{3} - 9 x^{2} + 20 x - 12 = 0

x^{4} - 37 x^{2} = - 36

- x^{3} + 2 x^{2} + 3 = 0

20 x^{4} - x^{2} - 1 = 0

What are the solutions to the equation 2= 1/4 r^3 ?
The solutions to the equation 2= 1/4 r^3 are r=2,r=-1+sqrt(3)i,r=-1-sqrt(3)i
Find the zeros of 2= 1/4 r^3
The zeros of 2= 1/4 r^3 are r=2,r=-1+sqrt(3)i,r=-1-sqrt(3)i