PLEASE HELP! Using completing the square to solve x2-5x+3=0. Round to the nearest tenth as needed

Step-by-step explanation:

We are given:

And we want to solve this via completing the square.

First, we will subtract 3 from both sides. This yields:

Next, we will factor out the leading coefficient from the left.

In this case, the leading coefficient is simply 1 so we can leave it as is.

Next, we want to add a constant that is half of the b coefficient squared.

In this case, b = -5.

Half of that is -5/2.

Squaring yields 25/4.

So, we will add 25/4 to both sides. Since our leading coefficient is 1, we don't need to multiply by anything when we add it on the right. Hence:

The left side constitutes a perfect square trinomial as shown:

Factor and subtract:

Taking the square root of both sides gives:

Hence:

Approximate: