# Write a quadratic equation with the given solutions. -1 and -6

Question
Write a quadratic equation with the given solutions. -1 and -6

2021-02-02
Set x equal to -1, and x equal to -6. Manipulate these equations so that they equal zero. These are the factors.
-1 and -6
$$x=-1$$
$$x+1=0$$
$$x=-6$$
$$x+6=0$$
$$(x+1)(x+6)$$
Multiply the factors together, and you have your equation.
$$(x+1)(x+6)$$
$$x^{2}+x+6x+6$$
$$x^{2}+7x+6$$

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