Question

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

Answer 1

Answer:

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

Step-by-step 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.

Answer 2

Answer:

x=-4 and 9 are the 2 solutions

Step-by-step 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