If l and m are the roots of a quadratic equation x2 - lx + m = 0, then find the value of l and m.

Problem : If l and m are the roots of a quadratic equation x² - lx + m = 0, then find the value of l and m.

Doubt by Muskan

Solutions : 

x² - lx + m = 0

a = 1
b = - l
c = m.

Sum of zeroes
α + β  = -b/a 
l + m = - (-l)/1
l + m = l
m = l - l 
m = 0

Product of zeroes
α β  = c/a
l × m = m/1
l = m/m
l = 1