Let the roots be A, -A and B (since the sum of two of them is 0).Solve the equation x³ - 3x² - 4x + 12 = 0 given that the sum of two of its roots is zero.
Note this equation can be solved directly without the information about the sum of roots:Solve the equation x³ - 3x² - 4x + 12 = 0 given that the sum of two of its roots is zero.
You probably should let the roots be:Hey thank you so much carrotstick.
Just one last question. I got stucked with.
Solve the equation 2x³ - 21x² + 42x - 16 = 0 , given that the roots form consecutive terms of a geometric sequence. Let the roots be alpha, alpha*beta , alpha*beta².