Question

. α and β are zeroes of the quadratic polynomial x2 – 6x + y. Find the value of ‘y’ if 3α + 2β = 20. Answer it proper if it is a inappropriate answer then u would be reported and not let into brainly

Answer 1

Solution:

Let, f(x) = x² – 6 x + a

From the question,

3α + 2β = 20

From f(x),

α + β = 6———————(ii)

And,

αβ = y———————(iii)

Multiply equation (ii) by 2. Then, subtract the whole equation from equation (i),

=> α = 20 – 12 = 8

Now, substitute this value in equation (ii),

=> β = 6-8 = -2

put the value of α and β in equation (iii) to get the value of y, such as;

y = αβ = -16