# How do you solve #y = -2x^2 + 5x - 1#?

##### 2 Answers

The roots are:

The approximate roots are:

#### Explanation:

Solve:

where:

Substitute

Solve using the quadratic equation.

Plug in the known value.

Simplify.

Simplify.

The roots are:

The approximate roots are:

graph{y=-2x^2+5x-1 [-10, 10, -5, 5]}

#### Explanation:

When we say "solution" instead of the entire curve, we usually mean the place(s) were the function is zero. That is, the "roots" of the equation are at:

Now you can solve this be number of ways - factoring, quadratic formula, and graphing.

This one may be solved most quickly with the quadratic formula.

in this case,