Question

Help with algebra!!! Will medal

Answer 1

What are the roots of the equation 5x2 - 5x - 30 = 0?

Answer 2

A. x = -3/5 or 10
B. x = 3/5 or -10
C. x = 2 or 3
D. -2 or 3

Answer 3

The first step is to take out the common factor 5, giving:
\[\large x^{2}-x-6=0\]

Answer 4

Can you factorize that?

Answer 5

5(x^2 - x - 6) = 0
Right?

Answer 6

Not really. Now divide both sides by 5, to get the quadratic that i posted.

Answer 7

I don't understand. Why do I have to divide both sides by 5?

Answer 8

To make the original quadratic much simpler to factorize.
\[\large x^{2}-x-6=(x+?)(x-?)\]

Answer 9

(x + 2)(x - 3) ?

Answer 10

Correct. Now can you see the roots?

Answer 11

yes. Thank you so much. Now I finally understand. :)

Answer 12

You're welcome :)