Question

If alpha and beta are the zeros of the polynomial 6x^2 + x - 2 then find the value of 1/alpha+ 1/beta = alpha*beta

Answer 1

Let's first solve the equation to get our zeroes of the equation i.e. alpha and beta.

6x2+x−2=0

6x2+4x−3x−2=0

2x(3x+2)−(3x+2)=0

which gives us two equations,

2x−1=0=>x=1/2(alpha)

3x+2=0=>x=−2/3(beta)

So, the value of alpha/beta and beta/alpha will be -3/4 and -4/3, adding both of them gives the solution as -25/12.

HOPE YOU LIKE IT .

Answer 2

Answer:

Hello