Solve the equation 2x³+11x²−9x−18 = 0.

Find the condition that the roots of ax³+ bx²+ cx + d = 0 are in geometric progression. Assume a, b, c, d ≠ 0.

Solve the equation 3x³-26x²+52x - 24 = 0 if its roots form a geometric progression.

Solve the equation
2x³ - 9x² + 10x = 3

Find all real numbers satisfying 4^x- 3(2^x+2) + 2⁵ = 0

If α, β and γ are the roots of the cubic equation x³+ 2x²+ 3x + 4 = 0, form a cubic equation whose roots are \(\frac { 1 }{ \alpha } ,\frac { 1 }{ \beta } ,\frac { 1 }{ \gamma } \)

If α, β and γ are the roots of the cubic equation x³+ 2x²+ 3x + 4 = 0, form a cubic equation whose roots are −α, -β, -γ

Solve the cubic equations: 8x³ - 2x² - 7x + 3 = 0

Solve the following equations,
12x³+ 8x = 29x²- 4

Solve the equations
x⁴+ 3x³- 3x - 1 = 0