Question

What is y= 4x^2-12x+9

Answer 1

`x=(3)/(2)`

Explanation:

If you are asking what type of geometric figure this equation forms, it is a parabola. I am assuming you want to solve for x. If that is the case, here is your solution.

Given:
`y=4x^2-12x+9`

To solve for the x value, we set y equal to 0. To save some time, we can use the quadratic formula to solve this equation - since it is a quadratic. The formula is:

`x=(-b+√(b^2-4ac))/(2a)` and
`x=(-b-√(b^2-4ac))/(2a)`

Let's identify our values:

`a=4\\b=-12\\c=9`

To solve for x, we need to plug this into the quadratic formula.

`x=(12+√((-12)^2-4(4)(9)))/(2(4))`

`x=(12+√(0))/(8)`

`x=(12+0)/(8)`

`x=(12)/(8)`

`x=(3)/(2)`

We would normally do the process again, but subtracting. However, since it was plus/minus zero, the answer would not change. You get one real solution.