Solveeit Logo

Question

Question: If the product of the roots of the equation \(8x^{3} - 14x^{2} + 7x - 1 = 0\) be 2, then the sum of ...

If the product of the roots of the equation 8x314x2+7x1=08x^{3} - 14x^{2} + 7x - 1 = 0 be 2, then the sum of roots is.

A

1

B

–1

C

2

D

–2

Answer

–1

Explanation

Solution

It is given that

3ABCB3A3\frac{3ABC - B^{3}}{A^{3}}3ABC+B3A3\frac{3ABC + B^{3}}{A^{3}}B33ABCA3\frac{B^{3} - 3ABC}{A^{3}}

Also B33ABCB3\frac{B^{3} - 3ABC}{B^{3}}

Putting this value of a, we get sum of roots

α,β\alpha,\beta.