Question

HELP PLEASEEE. I DONT UNDERSTAND

Answer 1

D

Explanation:

So we have the equation:

`x^2-6x+58=0`

And we want to solve for x.

We can solve it by completing the square.

First, subtract 58 from both sides:

`x^2-6x=-58`

Divide the b term by 2 and square it:

`(-6)/2=-3\\(-3)^2=9`

So, add 9 to both sides:

`(x^2-6x+9)=-58+9`

On the left, the perfect square trinomial pattern. Add on the right. So:

`(x-3)^2=-49`

Take the square root of both sides:

`x-3=\pm √(-49)`

The square root of -49 is 7i:

`x-3=\pm 7i`

Add 3 to both sides:

`x=3\pm 7i`

So, our answer is D.

And we're done!