Question

If m,n are the zeroes of polynomial bx²+ax+c then the value of m²+n ²

Answer 1

Answer

bx²+ax+c

sum of roots m+n = (-a/b)

product of roots mn = c/b

m²+n² = (m+n)²- 2mn

= (-a/b)² - 2(c/b)

= (a²/b²)- 2c/b

= a²-2bc / b²