Question

Marked it 30 points so please help also idk how to show my work for first question

Answer 1

x=-4 and 9 are the 2 solutions

Explanation:

Let's use factoring

first, get one side 0 by subtracting 36 from both sides

`x^2-5x-36=0`

now factor, think, what 2 numbers multiply to get -36 and add to get -5?

-9 and 4

so it factor into

`(x-9)(x+4)=0`

set each to 0 and solve for x

x-9=0

x=9

x+4=0

x=-4

so the 2 solutions are x=-4 and 9

To verify, you want to see where
`y=x^2-5x` and
`y=36` intersect

If they intersect at x=-4 and x=9, then your answer is correct

Answer 2

(9,0) and (-4,0)

Explanation:

First, move everything to the left to make the whole equation equal to 0.

So we get x^2-5x-36=0

Then we can factor by finding the two numbers that multiply to -36 and add to -5.

Those two numbers are -9 and 4.

So we have (x-9)(x+4)=0.

So the two roots are 9 and -4.

To verify this on a graphing calculator, plug in the equation and look at the x intercepts.

If they match up with (9,0) and (-4,0) you have your answer.