Question

Can you please help me with this? I don't get it.

[9.02] What are the x-intercept(s) of the graph of y − x2 = 11x + 30?

Answer 1

A couple of things first:

One, it is good to get into the necessary habit of writing x^2, not x2, because x2 really means 2x.

Two, best to re-write this as an equation: y = x^2 + 11x + 30
Done by subtracting x^2 from each side.

Three, the x-intercepts are where y = 0, so you are dealing with:

x^2 + 11x + 30 = 0

That can be factored. Are you able to do that?

Answer 2

I'm not the best at it..

Answer 3

I don't think I can. I'm not exactly sure how to do that.

Answer 4

np.

You are looking for 2 numbers that add up to 11 but when multiplied give 30.

(x + 5)(x + 6) = 0

Answer 5

So, your x-intercepts are x = -5 and x = -6.

At those 2 values for x you have y = 0

Answer 6

Okay. Thanks. :)

Answer 7

You're quite welcome!

Answer 8

Good luck in all of your studies.