Question

if α β are the roots of x2-3x+2=0.findthe equation whose roots are (α+β)2 and (α-β)2

Answer 1

Answer:

sum of roots = 3/1 = 3

product of roots = 2/1 = 2

let the roots be a and b

so (a+b)2 = 3*2 = 6

(a-b)^2 = (a+b)^2 - 4ab = 9 - 8 = 1

a-b = 1

(a-b)2 = 2

Step-by-step explanation: