How Do You Use The Quadratic Equation To Solve Equations?
In a previous article, we covered using Factoring to solve and equation. We went through our equation step-by-step and then went back to check our answer. However, we also noted that Factoring was not always guaranteed to give a solution. Thankfully, there are other ways to solve trinomial equations, one of which will be illustrated below-using the Quadratic Equation. For this article, we will use the equation 10(x^2) + 28x + 17. The Quadratic Equation is usually written as: x=(-b±√(b^2-4ac))/2a. However, before you can start solving, you need to understand what a, b and c stand for. The first step is to check you equation against this format: a(x^2) + bx + c = 0. 10(x^2) + 28x + 17 10 = a 28 = b 17 = c Now that we have the values for the variables, the next step is to replace a, b and c with our numbers and fill in the equation. x = (-28±√(〖(28)〗^2-4(10)(17)))/(2(10)) Now, we work out the equation. x = (-28±√(784-680))/20 x = (-28±√104)/20 x = (-28±10.198)/20 x = (-28+10.198)/20 x = (
