Question

If alpha and Beta are Zeroes of the polynomial X2-6x+a, Find the value of 'a' . If 3 alpha +2 Beta equal to 20

Answer 1

Hey

Here is your answer,

Polynomial   P(x) = x² - 6 x + a

Given  α and  β  are the roots.     

To find a , if 3 α + 2 β = 20.  ---(1)

From the quadratic expression:
    α + β = 6       ---(2)
    and   α β = a  --- (3)

Multiply equation (2) by 2 and subtract from (1) to get:
    α = 20 -12 = 8

Substitute this value in(2) to get:    
     β = 6-8 = -2   

Substitute these in (3) to get:   
a = α β = -16.

Hope it helps you!

Answer 2

Hey friends!!

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Here is your answer↑

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Your answer is in the picture↑

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☺☺☺ hope it is helpful for you ✌✌✌.