The roots of the cubic equation 2x3 – 8x2 + ax + 6 = 0 are m + n, 2m, m – n. The value of a is ______.
Question
Solution 1
To find the value of 'a', we need to use Vieta's formulas which state that the sum of the roots of a cubic equation ax³ + bx² + cx + d = 0 is -b/a, the sum of the product of the roots taken two at a time is c/a, and the product of the roots is -d/a.
Given the roots of the equation 2x³ - 8x² + ax + Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI
Similar Questions
The roots of the cubic equation 2x3 – 8x2 + ax + 6 = 0 are m + n, 2m, m – n. The value of a is ______.
Suppose that α, β and γ are the roots of the cubic equationx3 − 4x2 + 3x + 1 = 0.Find the cubic equation whose roots are α2 , β2 and γ2
If the equation 3x3 - 16x2 + mx - 6 = 0 has three positive real roots, out of which two roots are reciprocals of each other, the value of m is _______ .
If the equations x3 + 10x2 + ax + b = 0 and x3 + 4x2 + ax + c = 0 have two roots in common, then the product of uncommon roots of two equations is:
For what value of k does the equation, 2x2 - 5x + k = 0 have both the roots in the interval (0, 1)?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.