Quadratic-Like Equations Exercises

Solve for the roots of the following equation.

Hint

5x² – 4x – 1 = 0

Solve for the roots of the following equation.

x⁶ – 2x³ – 8 = 0

Hint

If we rewrite our equation with u = x³ and solve for u, we'll get u = 4 and u = -2.

Solve for the roots of the following equation.

Hint

2x² – 5x – 15 = 0

Solve for the roots of the following equation.

-2x³ + 6x^3/2 – 4 = 0

Hint

Rewrite it as -2u² + 6u – 4, where u = x^3/2.

Solve for the roots of the following equation.

x⁵ + 3x³ – 4x = 0

Hint

Factor out an x, then rewrite the whole thing as , with u = x².