What is y equals 2xexponent2 plus 3x-1?

Answer 1

y=2x2 + 3x-1

To find the zeros of this equation (when y=0) set the equation = 0

0=2x2 + 3x-1

Now, you can either graph the equation in a graphing calculator and find the x intercepts (where the function crosses the x-axis and y=0) or you can factor the quadratic equation by "smiling" or reverse foiling. However, this equation cannot be easily factored. Therefore, using a graphing calculator will provide the correct answer of x= -1.780776 and x= 0.28077641

You can also use the quadratic formula

where the general form of a quadratic equation is ax2 +bx+ c=0=y

In order to use the quadratic formula, you simple plug the corresponding values into the x= equation. This will produce the same results as graphing and finding the x intercepts.