4.9t^2+340t=1088

Solution for 4.9t^2+340t=1088 equation:

4.9t^2+340t=1088

We move all terms to the left:

4.9t^2+340t-(1088)=0

a = 4.9; b = 340; c = -1088;
Δ = b2-4ac
Δ = 3402-4·4.9·(-1088)
Δ = 136924.8
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{-(340)-\sqrt{136924.8}}{2*4.9}=\frac{-340-\sqrt{136924.8}}{9.8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(340)+\sqrt{136924.8}}{2*4.9}=\frac{-340+\sqrt{136924.8}}{9.8}
$