14.7=4.9t^2+9.8t+14.7

Solution for 14.7=4.9t^2+9.8t+14.7 equation:

14.7=4.9t^2+9.8t+14.7

We move all terms to the left:

14.7-(4.9t^2+9.8t+14.7)=0

We get rid of parentheses

-4.9t^2-9.8t-14.7+14.7=0

We add all the numbers together, and all the variables

-4.9t^2-9.8t=0

a = -4.9; b = -9.8; c = 0;
Δ = b2-4ac
Δ = -9.82-4·(-4.9)·0
Δ = 96.04
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{-(-9.8)-\sqrt{96.04}}{2*-4.9}=\frac{9.8-\sqrt{96.04}}{-9.8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9.8)+\sqrt{96.04}}{2*-4.9}=\frac{9.8+\sqrt{96.04}}{-9.8}
$