SOLUTION: What two numbers add together to make 94 and multiply together to get 360 ?

Question 819991: What two numbers add together to make 94 and multiply together to get 360 ?
Found 3 solutions by TimothyLamb, jsmallt9, LinnW:
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
i + j = 94
j = 94 - i
ij = 360
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ij = 360
i(94 - i) = 360
94i - ii - 360 = 0
-ii + 94i - 360 = 0
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the above quadratic equation is in standard form, with a=-1, b=94, and c=-360
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to solve the quadratic equation, by using the quadratic formula, plug this:
-1 94 -360
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the two real roots (i.e. the two x-intercepts), of the quadratic are:
i = 4
j = 90
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!
Let x - one number and y = the other. Then:
x + y = 94
x*y = 360

We will use the Substitution Method to solve. Solving the first equation for y we get:
y = -x + 94
Substituting for y in the other equation:
x*(-x+94) = 360
Now we solve this. First we simplify:

Since this is a quadratic equation we want one side to be zero. Since I also like a positive coefficient in fromt of I'll add and subtract 94x:

Next we factor:
0 = (x-90)(x-4)
Zero Product Property:
x-90 = 0 or x-4 = 0
Solving these:
x = 90 or x = 4

Finding y (using y = -x + 94):
For x = 90: y = -(90) + 94 = 4
For x = 4: y = -(4) + 94 = 90

So the two numbers are 4 and 90.
Answer by LinnW(1048)   (Show Source): You can put this solution on YOUR website!
What two numbers add together to make 94 and multiply together to get 360 ?
Start with 94 and try factors 1*93,
1*93, 1+93 does not work
2*92, 2+92 does not work
3*91, 3+91 does not work
4*90, 4+90 works.

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