Quadratic equations

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Quadratic equations

How would I write a quadratic equation using -6,-4 as a solution?
AlgebraHouse AlgebraHouse
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Re: Quadratic equations

"How would I write a quadratic equation using -6,-4 as a solution?"

Start with the solutions and work backwards:

x = -6 or x = -4
x + 6 = 0 or x + 4 = 0 {added 6 and added 4 to both sides}
(x + 6)(x + 4) = 0 {multiplied the two binomials and set equal to 0}
x² + 10x + 24 = 0 {used foil method}

- Algebra House