Question

If alpha and beta are the roots of x2-3x+2. Find 1/alpha2 + 1/beta2

Answer 1

here is your answer by Sujeet,

Given that polynomial,
x²-3x+2

then,
we known that
a+b=-b/a=-(-3)/1=3
ab=c/a=2/1=2

Now,
value of........ 1/a²+1/b²
b²+a²/(ab) ²

(a+b)²-2ab/(ab)²=(3)²-2(2)/(2)²=9-4/4=5/4

that's all... disha