Question

Solve the quadratic equation by factoring. x^2+4x-21=0This factors into (x+Answer)(x-Answer=0)Enter your solutions below from smallest to largest. If a solution is repeated type that answer for both values of x. If your answer is not an integer then type it as a decimal rounded to the nearest hundredth.x=Answer and x=Answer

Answer 1

Notice that:

`x^2+4x-21=x^2+(7-3)x+(7)(-3)=(x+7)(x-3)\text{.}`

Therefore, the given equation is factored as follows:

`(x+7)(x-3)=0`

The solutions of the above equation are x=-7 and x=3.

Answer:

`\begin{gathered} (x+7)(x-3)=0, \\ x=-7\text{ and x=3.} \end{gathered}`