Question

If α and β are zeroes of 2x2 – 5x + 3, then find the values of:
(i) α2 + β2
(ii) 12 + 12
(iii) +

Answer 1

P(x)=2x^2-5x+3

P(x)=2x^2-3x-2x+3

P(x)=x(2x-3)-1(2x-3)

P(x)=x-1=0. 2x-3=0

P(x)=x=1. x=3/2

(i) α2 + β2

=(1)^2+(3/2)^2

=1/1+9/4

=(4×1)+(1×9)/4

=4+9/4

=13/4

α2 + β2=13/4

1,3/2 are the zeroes of the quadratic polynomial P(x)=2x^2-5x+3

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