answersLogoWhite

0

We have the following quadratic equation:

y= x2 + 8x + 15

We need to find the x-intercepts of the equation, or the points where the equation equals zero. To do this, we can factor the equation. Take the following equation:

y = (x + a)(x + b)

We can factor the equation into this form, if we can find numbers a and b such that:

a + b = 8

a * b = 15

After some trial and error, we find that a = 3 and b = 5.

x2 + 8x + 15 = (x + 3)(x + 5)

If either part of the factored form is equal to zero, the entire equation is equal to zero. The points where this is true are at x = -3 and x = -5. Therefore, the answers are

x = -3 and x = -5.

User Avatar

Wiki User

15y ago

Still curious? Ask our experts.

Chat with our AI personalities

FranFran
I've made my fair share of mistakes, and if I can help you avoid a few, I'd sure like to try.
Chat with Fran
JordanJordan
Looking for a career mentor? I've seen my fair share of shake-ups.
Chat with Jordan
JudyJudy
Simplicity is my specialty.
Chat with Judy

Add your answer:

Earn +20 pts
Q: X2 plus 8x plus 15 equals 0?
Write your answer...
Submit
Still have questions?
magnify glass
imp