Question

2x2-5x-2 solve by quadratic formula leave answers in simplest radical form

Answer 1

As given by the question

There are given that the equation

`2x^2-5x-2`

Now,

Solve this equation by using quadratic formula

So,

From the quadratic formula:

`x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}`

Then,

`\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-(-5)\pm\sqrt[]{(-5)^2-4*2*(-2)}}{2*2} \\ x=\frac{5\pm\sqrt[]{25+16}}{4} \\ x=\frac{5\pm\sqrt[]{41}}{4} \end{gathered}`

Hence, the value of the given equation by using the quadratic formula in simplest radical form is shown below:

`x=\frac{5\pm\sqrt[]{41}}{4}`