SOLUTION: This is not from a textbook. Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2 + bx + c = 0 soluti

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: This is not from a textbook. Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2 + bx + c = 0 soluti      Log On


   



Question 132081: This is not from a textbook.
Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2 + bx + c = 0
solution: 7, only solution
Equation is 0 = ___________
I'm just starting to be able to understand how to compute these kind of equations so to do it backwards is confusing me totally.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If 7 is the only solution, it has multiplicity two.
Therefore it has two factors that look like (x-7)
EQUATION:
y = (x-7)^2 = x^2-14x+49
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Cheers,
Stan H.