Question

If α and β are the zeros of the quadratic polynomial f(x)=6x² + x - 2 , find the value of (α/β) + (β/α) .

Answer 1

Answer:

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

6 x^2 + x − 2 = 0

6 x^2 + 4 x − 3 x − 2 = 0

2 x (3 x + 2) − (3 x + 2)=0

Which gives us two equations,

2 x − 1= 0

x = 1/2(alpha)

3 x + 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.

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Answer 2

Answer:

so value of a/b+b/a = -25/12