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

Answer:

Step-by-step explanation:

well 2nd and 3rd questions are inappropriate but 1st can be solved

so we know that the sum of roots of a quadratic is

α+β=  -b/a    and   αβ=c/a

here a=2;b= -5;c=3

so α²+β² can be written as (α+β)²-2αβ

so plugging in the values we get

(5/2)²-2*3/2

which equals to 25/4-3 which further equals to

25-12/4=13/4

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