Question

If p, q are zeros of the polynomial f(x) = 2x 2 - 7x + 3, find the value of p 2 + q 2 .​

Answer 1

Answer:

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Step-by-step explanation:

by using (a+b)²=a²+b²+2ab,

a²+b²=(a+b)²-2ab

let p=alpha(first zero) and q=beta(second zero),

p+q=-b/a=-(-7)/2=7/2

pq=c/a=3/2

p²+q²=(p+q)²-2pq

=(7/2)²-2*3/2

=49/4 - 3

by taking LCM,

=49-12/4

=37/4

=9.25

Answer-: p²+q²= 9.25