SOLUTION: If the solutions to a quadratic equation are - 3 and + 4, what is the equation? Be careful to write the quadratic in standard form: Ax2 + Bx + C = 0. A, B, and C must be inte

Algebra ->  Finance -> SOLUTION: If the solutions to a quadratic equation are - 3 and + 4, what is the equation? Be careful to write the quadratic in standard form: Ax2 + Bx + C = 0. A, B, and C must be inte      Log On


   

Question 1124820: If the solutions to a quadratic equation are - 3 and + 4, what is the equation?
Be careful to write the quadratic in standard form: Ax2 + Bx + C = 0.
A, B, and C must be integers - no fractions, no decimals - and A must be positive.
The equation is
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-%28-3%29%29%28x-4%29=Ax%5E2%2BBx%2BC
-
%28x%2B3%29%28x-4%29=Ax%5E2%2BBx%2BC
x%5E2%2B3x-4x-12
x%5E2-x-12=Ax%5E2%2BBx%2BC

Equating the corresponding terms, one possible set of values is
system%28A=1%2CB=-1%2CC=-12%29


Any positive real value k will also make k%28x%5E2-x-12%29=Ax%5E2%2BBx%2BC and with this, other more general possible values may be system%28A=k%2CB=-k%2CC=-12k%29 for real k%3E0.