SOLUTION: 2t+t+5=3 Subtract 3 on both sides 2t+t-2=0 AC=4 B=1 Possibilities for products of 4 are (1 and 4), (2 and 2) I can't find a product of 4 that equals the sum of 1 and this

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: 2t+t+5=3 Subtract 3 on both sides 2t+t-2=0 AC=4 B=1 Possibilities for products of 4 are (1 and 4), (2 and 2) I can't find a product of 4 that equals the sum of 1 and this      Log On


   

Question 1151634: 2t+t+5=3
Subtract 3 on both sides
2t+t-2=0
AC=4
B=1
Possibilities for products of 4 are (1 and 4), (2 and 2)
I can't find a product of 4 that equals the sum of 1 and this is where I get stuck. I tried to use the quadratic formula, but that did not work out so well. What problems would I use the quadratic formula for?
How do you solve problems like the one above where their is no product of ac that equals the sum of b?
Thank you for your help
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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2t+t+5=3
Subtract 3 on both sides
2t+t-2=0
---------------------------------------------

2t%2Bt%2B5=3
3t%2B5=3
3t=3-5=-2
t=-2%2F3


The rest of your description is unrelated to the first part of it.

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?
2t%5E2%2Bt%2B5=3
2t%5E2%2Bt%2B5-3=0
2t%5E2%2Bt%2B2=0
Does not appear factorable, so....

t=%28-1%2B-+sqrt%281%5E2-4%2A2%2A2%29%29%2F%282%2A2%29
t=%28-1%2B-+sqrt%28-15%29%29%2F4
highlight_green%28t=%28-1%2B-+i%2Asqrt%2815%29%29%2F4%29
Your AC and B do not seem to fit anything here.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

2t+t+5=3
Subtract 3 on both sides
2t+t-2=0
AC=4
B=1
Possibilities for products of 4 are (1 and 4), (2 and 2)
I can't find a product of 4 that equals the sum of 1 and this is where I get stuck. I tried to use the quadratic formula, but that did not work out so well. What problems would I use the quadratic formula for?
How do you solve problems like the one above where their is no product of ac that equals the sum of b?
Thank you for your help
There are NO INTEGERS with a product of 4 that sum to 1. You seem to be referring to a quadratic equation the likes of: x2 + x + 4 = 0.

The quadratic equation formula or COMPLETING the SQUARE would need to be used to find the roots.