we know that
In a quadratic equation of the form
the discriminant is equal to

if
-------> the equation has two real number solutions
if
-------> the equation has one real number solution
if
-------> the equation has two complex number solutions
In this problem we have

so

substitute in the formula

----> the equation has two real number solutions
therefore
<u>the answer is</u>
the equation has two real number solutions
To solve this problem follow the steps below.
Step 1:List out all of the factors for -36
-36: 1,2,3,4,6,9,12,18,36
-1,-2,-3,-4,-6,-9,-12,-18,-36
Step 2: Start going through a process of guessing and checking (basically take any two factors and add them together to see if they equal 13)
1 plus 12=13
9 plus 4=13
Step 3:Check your calculations and make sure you didn't make any errors
13-12=1 and 13-1=12
13-9=4 and 13-4=9
Answer: 1 and 12
4 and 9
I hope this helps and if any false information was given I apologize in advance.
Answer: y=-2x+7
Step-by-step explanation:
First we need to find the slope. We can do this by appling the formula (y2-y1)/(x2-x1).
(3-(-1))/(2-4)=4/-2=-2
Now that we have the slope, we can use the slope and a coordinate point and plug it into point-slope form.
y-3=-2(x-2)
y-3=-2x+4 Isolate y for slope-intercept form.
y=-2x+7
Answer:

Step-by-step explanation:
