1.9t=4.9(t*t)

Solution for 1.9t=4.9(t*t) equation:

1.9t=4.9(t*t)

We move all terms to the left:

1.9t-(4.9(t*t))=0

We add all the numbers together, and all the variables

1.9t-(4.9(+t*t))=0


We calculate terms in parentheses: -(4.9(+t*t)), so:

4.9(+t*t)

We multiply parentheses

4.9t^2

Back to the equation:

-(4.9t^2)


We get rid of parentheses

-4.9t^2+1.9t=0

a = -4.9; b = 1.9; c = 0;
Δ = b2-4ac
Δ = 1.92-4·(-4.9)·0
Δ = 3.61
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{-(1.9)-\sqrt{3.61}}{2*-4.9}=\frac{-1.9-\sqrt{3.61}}{-9.8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.9)+\sqrt{3.61}}{2*-4.9}=\frac{-1.9+\sqrt{3.61}}{-9.8}
$