Question

If α, β are the roots of ax^2 + bx+ c = 0, (a ≠ 0) and α + δ, β + δ are the roots of Ax^2 + Bx + C = 0,

Answer 1

forax2+2bx+c=0ax2+2bx+c=0 roots are αα and ββ

difference of the roots = α−β=4b2−4aca2−−−−−−√α−β=4b2−4aca2

for Ax2+2Bx+C=0Ax2+2Bx+C=0 roots areα+δα+δ and β+δβ+δ

difference of the roots =α−β=4B2−4ACA2−−−−−−−√α−β=4B2−4ACA2

from the above we get that

4b2−4aca2−−−−−−√=α−β4b2−4aca2=α−β

4B2−4ACA2−−−−−−−√=α−β4B2−4ACA2=α−β

b2−acB2−AC=a2A2


Hope it helps you
Please make me as brainliest