Question

For the pair of numbers (-1/5),(-1/2) My teacher wants us to find the quadratic equation with integral coefficients that has these numbers as solutions. I am not sure if I have the right equation for this. Could someone let me know if I am right or wrong and then show me how to gettthe right answer if I am wrong. Thanks.

x^2-7/10x+10

Answer 1

x = -1/5 , x = -1/2.
x + 1/5 = 0,
x + 1/2 = 0,
(x + 1/5) (x + 1/2) = 0
Multiply the 2 binomials:
x^2 + x/2 + x/5 + 1/10 = 0
Multiply both sides by the common
denominator:
10x^2 + 5x + 2x + 1 = 0
Combine like-terms:
10x^2 + 7x + 1 = 0

Answer 2

Final Eq: y = 10x^2 + 7x + 1