The two numbers that have a sum of 1 and a product of -12 is -4 & 3
Solving quadratic equations
From the question, we are determine the two unknown numbers by solving the quadratic equation
The given quadratic equation is
n² + n -12 = 0
The quadratic equation can be solved as follows
n² + n -12 = 0
By factorizing
n² +4n -3n -12 = 0
n(n+4) -3(n+4) = 0
(n+4)(n-3) = 0
Then,
n+4 = 0 OR n -3 = 0
∴ n = -4 OR n = 3
Hence, the two numbers that have a sum of 1 and a product of -12 are -4 & 3
Learn more on Solving quadratic equations here: https://brainly.com/question/2320567
