-1.9=13t-(9.8t^2/2)

Solution for -1.9=13t-(9.8t^2/2) equation:

-1.9=13t-(9.8t^2/2)

We move all terms to the left:

-1.9-(13t-(9.8t^2/2))=0

We multiply all the terms by the denominator


-(13t-(9.8t^2-(1.9)*2))=0


We calculate terms in parentheses: -(13t-(9.8t^2-(1.9)*2)), so:

13t-(9.8t^2-(1.9)*2)


We calculate terms in parentheses: -(9.8t^2-(1.9)*2), so:

9.8t^2-(1.9)*2

We add all the numbers together, and all the variables

9.8t^2-3.8

Back to the equation:

-(9.8t^2-3.8)


We get rid of parentheses

-9.8t^2+13t+3.8

Back to the equation:

-(-9.8t^2+13t+3.8)


We get rid of parentheses

9.8t^2-13t-3.8=0

a = 9.8; b = -13; c = -3.8;
Δ = b2-4ac
Δ = -132-4·9.8·(-3.8)
Δ = 317.96
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{-(-13)-\sqrt{317.96}}{2*9.8}=\frac{13-\sqrt{317.96}}{19.6}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+\sqrt{317.96}}{2*9.8}=\frac{13+\sqrt{317.96}}{19.6}
$