4.9t^2-14t=98

Solution for 4.9t^2-14t=98 equation:

4.9t^2-14t=98

We move all terms to the left:

4.9t^2-14t-(98)=0

a = 4.9; b = -14; c = -98;
Δ = b2-4ac
Δ = -142-4·4.9·(-98)
Δ = 2116.8
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{-(-14)-\sqrt{2116.8}}{2*4.9}=\frac{14-\sqrt{2116.8}}{9.8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+\sqrt{2116.8}}{2*4.9}=\frac{14+\sqrt{2116.8}}{9.8}
$