Question

if alfha and beta are zeros of x2-x-6 than find value of alpha square and beta square​

Answer 1

Answer:

If alpha and beta are the zeroes of the equation 6x^2+x-2=0, what is alpha/beta + beta/alpha?

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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