Question

solve for x. separate multiple answers with a comma. x² + 20x + 99 = 0

Explanation:

Step1: Factor the quadratic equation

We need to find two numbers that multiply to \(99\) and add up to \(20\). The numbers are \(9\) and \(11\) since \(9\times11 = 99\) and \(9 + 11=20\). So we can factor the quadratic as \((x + 9)(x + 11)=0\).

Step2: Solve for x

Using the zero - product property, if \(ab = 0\), then either \(a = 0\) or \(b = 0\).
For \(x+9 = 0\), we get \(x=-9\).
For \(x + 11=0\), we get \(x=-11\).

Answer:

-11, -9