HELP PLEASEEE. I DONT UNDERSTAND

Question

asked Apr 4, 2021 127k views

1 Answer

Tomferon · Answer 1 · 2021-04-11T10:41:38+0000

Answer:

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!