Linear and Quadratic Functions: Solving Quadratic Functions

Solving Quadratic Equations Using the Quadratic Formula

Let’s go through an example of how to use the quadratic formula.

Solve t2 – 9t + 5 = 0 using the quadratic formula.

First identify a, b, and c.

a = 1, b = -9, and c = 5

Insert these values into the quadratic formula.

x is equal to negative negative nine plus or minus square root of the quantity negative nine squared minus four times one times five all over two times one

Now solve the quadratic.

x is equal to nine plus or minus square root of the quantity eighty one minus twenty all over two

x equals nine plus or minus square root of sixty one all over 2