SOLUTION: Determine whether the following equations have a solution or not? Justify your answer If x = 3 and x = -5, then form a quadratic equation

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Determine whether the following equations have a solution or not? Justify your answer If x = 3 and x = -5, then form a quadratic equation      Log On


   

Question 132532: Determine whether the following equations have a solution or not? Justify your answer
If x = 3 and x = -5, then form a quadratic equation
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
If x = 3 AND x = -5, you have a serious problem, because x can't be two different things at the same time. I suspect you meant: x = 3 OR x = -5. In that case,

If x = 3, then x - 3 = 0

If x = -5, then x + 5 = 0

%28x-3%29%28x%2B5%29=0

Apply FOIL:
x%5E2%2B2x-15=0, which is a quadratic equation in standard form satisfying the conditions that x = 3 or x = -5.