9.8t=49/t

Solution for 9.8t=49/t equation:

9.8t=49/t

We move all terms to the left:

9.8t-(49/t)=0


Domain of the equation: t)!=0

t!=0/1

t!=0

t∈R


We add all the numbers together, and all the variables

9.8t-(+49/t)=0

We get rid of parentheses

9.8t-49/t=0

We multiply all the terms by the denominator


(9.8t)*t-49=0

We add all the numbers together, and all the variables

(+9.8t)*t-49=0

We multiply parentheses

9t^2-49=0

a = 9; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·9·(-49)
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-42}{2*9}=\frac{-42}{18}
=-2+1/3
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+42}{2*9}=\frac{42}{18}
=2+1/3
$