SOLUTION: Write a quadratic equation in ax^2+bx+c=0 form to model two numbers that sum to 17. Their product is 42.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write a quadratic equation in ax^2+bx+c=0 form to model two numbers that sum to 17. Their product is 42.       Log On


   



Question 378041: Write a quadratic equation in ax^2+bx+c=0 form to model two numbers that sum to 17. Their product is 42.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming a is not equal to zero, then -b/a = 17 and c/a = 42. Then b = -17a, and c = 42a. THEN ax%5E2%2Bbx%2Bc=+ax%5E2+-17ax+%2B+42a+=+0, or x%5E2+-+17x+%2B+42+=+0 after dividing both sides by a.