Question

Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and the coefficients 5x^2+10x+5

Answer 1

hey..

5x^2 + 10x + 5
5x^2 + 5x + 5x + 5 = 0
5x(x+1)+5(x+1) =0
(x+1)(5x+5) = 0

x+1=0
x = -1

5x+5=0
5x=-5
x=-5/5
x = -1

let a = -1 and b = -1
a+b = -1+(-1) = -1-1 = -2
ab = (-1)(-1) = 1

a+b = -b/c
-2 = -10/5
-2 = -2

ab = c/a
1 = 5/5
1 = 1