1.2=(9.81*t^2)-(2.67*t)

Solution for 1.2=(9.81*t^2)-(2.67*t) equation:

1.2=(9.81t^2)-(2.67t)

We move all terms to the left:

1.2-((9.81t^2)-(2.67t))=0

We add all the numbers together, and all the variables

-((9.81t^2)-(+2.67t))+1.2=0


We calculate terms in parentheses: -((9.81t^2)-(+2.67t)), so:

(9.81t^2)-(+2.67t)

We get rid of parentheses

9.81t^2-2.67t

Back to the equation:

-(9.81t^2-2.67t)


We get rid of parentheses

-9.81t^2+2.67t+1.2=0

a = -9.81; b = 2.67; c = +1.2;
Δ = b2-4ac
Δ = 2.672-4·(-9.81)·1.2
Δ = 54.2169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2.67)-\sqrt{54.2169}}{2*-9.81}=\frac{-2.67-\sqrt{54.2169}}{-19.62}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.67)+\sqrt{54.2169}}{2*-9.81}=\frac{-2.67+\sqrt{54.2169}}{-19.62}
$