Solve `4x^3-24x^2+23x+18=0` ,givne that the roots of this equation are in arithmetic progression

Solve: 4x^3-24 x^2+44 x-24 >0 .

If the roots of the equation 4x^3 -12x^2 +11x +k=0 are in arithmetic progression then k=

solve x^3-7x^2+14x-8=0 given that the roots are in geometric progression.

Let pa n dq be the roots of the equation x^2-2x+A=0 and let ra n ds be the roots of the equation x^2-18 x+B=0.If p

Let pa n dq be the roots of the equation x^2-2x+A=0 and let ra n ds be the roots of the equation x^2-18 x+B=0. If p< q< r< s are in arithmetic progression, then A= and B=... (1997, 2M)

solve x^3 -9x^2 + 14x+ 24 =0 given that two of the roots are in the ratio 3:2

Solve 18x^3+81x^2+121x+60=0 given that one roots is equal to half the sum of the remainging roots .

If the roots of the equation x^(3) + bx^(2) + cx + d = 0 are in arithmetic progression, then b, c and d satisfy the relation

Given that the roots of the equation 24x^(3) - 26x^(2) + 9x - 1 = 0 are in HP , find them

Solve the equation x^4 +4x^3 -2x^2 -12x +9=0 given that it has pairs of equal roots