What are the solutions to the equation 6q^3+6=2q^3+506 ?

The solutions to the equation 6q^3+6=2q^3+506 are q=5,q=-5/2+(5sqrt(3))/2 i,q=-5/2-(5sqrt(3))/2 i

Find the zeros of 6q^3+6=2q^3+506

The zeros of 6q^3+6=2q^3+506 are q=5,q=-5/2+(5sqrt(3))/2 i,q=-5/2-(5sqrt(3))/2 i

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6 q^{3} + 6 = 2 q^{3} + 506

q = 5, q = - \frac{5}{2} + \frac{5 3}{2} i, q = - \frac{5}{2} - \frac{5 3}{2} i

Solution steps

6 q^{3} + 6 = 2 q^{3} + 506

Move

6

to the right side

6 q^{3} = 2 q^{3} + 500

Move

2 q^{3}

to the left side

4 q^{3} = 500

Divide both sides by

4

q^{3} = 125

For

x^{3} = f (a)

the solutions are

Simplify

q = 5, q = - \frac{5}{2} + \frac{5 3}{2} i, q = - \frac{5}{2} - \frac{5 3}{2} i

(x - 1)^{5} = x^{2} (x - 3) + x

x^{5} - x - 2 = 0

x^{6} - 26 x^{3} = 27

2 x^{4} + 3 x^{3} + 5 x^{2} + 2 x + 6 = 0

0 = y^{3} + 24 y^{2} - 180 y + 432

What are the solutions to the equation 6q^3+6=2q^3+506 ?
The solutions to the equation 6q^3+6=2q^3+506 are q=5,q=-5/2+(5sqrt(3))/2 i,q=-5/2-(5sqrt(3))/2 i
Find the zeros of 6q^3+6=2q^3+506
The zeros of 6q^3+6=2q^3+506 are q=5,q=-5/2+(5sqrt(3))/2 i,q=-5/2-(5sqrt(3))/2 i