SOLUTION: "I need your help on solving quadratic numbers." my promblem that i have on my homework is 6t2+5=2t2+1. this is what i had did i did foil making the promblem 12t2-6t2+10t2-5 i adde

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: "I need your help on solving quadratic numbers." my promblem that i have on my homework is 6t2+5=2t2+1. this is what i had did i did foil making the promblem 12t2-6t2+10t2-5 i adde      Log On


   



Question 247339: "I need your help on solving quadratic numbers." my promblem that i have on my homework is 6t2+5=2t2+1. this is what i had did i did foil making the promblem 12t2-6t2+10t2-5 i added like terms getting 16t2-5. Then i got confusede and stoped
Found 2 solutions by checkley77, ankor@dixie-net.com:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
6t^2+5=2t^2+1
6t^2-2t^2+5-1=0
4t^2+4=0
4(t^2-1)=0
4(t+1)(t-1)=0
t+1=0
t=-1 ans.
t-1=0
t=1 ans.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Why would you foil this?
:
Assuming the problem is
6x^2 + 5 = 2x^2 + 1
:
6x^2 - 2x^2 = -5 + 1
:
4x^2 = -4
Divide both sides by 4
x^2 = -1
x = sqrt%28-1%29
x = i
:
:
Check solution in original equation
6(i^2) + 5 = 2(i^2) + 1
We know that i^2 = -1
6(-1) + 5 = 2(-1) + 1
-6 + 5 = -2 + 1
-1 = -1