2/t-2-t+1/t+4=0

Solution for 2/t-2-t+1/t+4=0 equation:

2/t-2-t+1/t+4=0


Domain of the equation: t!=0

t∈R


We add all the numbers together, and all the variables

-1t+2/t+1/t+2=0

We multiply all the terms by the denominator


-1t*t+2*t+2+1=0

We add all the numbers together, and all the variables

2t-1t*t+3=0

Wy multiply elements

-1t^2+2t+3=0

a = -1; b = 2; c = +3;
Δ = b2-4ac
Δ = 22-4·(-1)·3
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-4}{2*-1}=\frac{-6}{-2}
=+3
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+4}{2*-1}=\frac{2}{-2}
=-1
$