51.4k views
22 votes
Find the quadratic equation whose roots are -3 and 1​

User Olevegard
by
7.4k points

1 Answer

2 votes

Answer:

x²+2x-3=0

According to Vieta's formula:

x²-(Sum of roots)x+(product of roots)=0

Sum of roots=-3+1=-2

Product of roots=-3×1=-3

The equation is x²-(-2)x+(-3)=0

x²+2x-3=0

User Jeanfrancois
by
6.6k points