Question

Construct the quadratic equation whose roots are 5 and -4

Answer 1

roots of quadratic equation are :
α = 5 , β = - 4

Sum of roots, S = α + β = (5) + (-4) = 1

Product of roots, P = α β =(5)(-4)= -20

Quadratic equation is :

x ² - S x + P = 0

x ² - x -20 = 0

Answer 2

Sum of the roots (a+b) = 5+(-4) =1
Product of roots a. b. = 5(-4) = - 20
According to quadratic equation formatting
x^2 - (a+b) + ab
x^2 - (1) +(-20)
x^2 - 1 - 20 = 0