Answer:
Step-by-step explanation:
a + b = 20
Sum of roots = 20
ab = 75
Product of roots = 75
x² - (a +b) x + ab = 0
x² - 20x + 75 = 0
Sum = coefficient of x = -20
Product = 75
Factors = 15 , 5 {15*5 = 75 & 15 +5 = 20}
x² - 15x - 5x + 75 = 0 {Rewrite the middle term}
x(x - 15) - 5(x - 15) = 0
(x - 15) (x - 5)=0
x - 15 = 0 ; x -5 = 0
x = 15 ; x = 5
a = 15 ; b= 5
