4.9x^2-2.25x-3.4=0

Solution for 4.9x^2-2.25x-3.4=0 equation:

4.9x^2-2.25x-3.4=0

a = 4.9; b = -2.25; c = -3.4;
Δ = b2-4ac
Δ = -2.252-4·4.9·(-3.4)
Δ = 71.7025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2.25)-\sqrt{71.7025}}{2*4.9}=\frac{2.25-\sqrt{71.7025}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.25)+\sqrt{71.7025}}{2*4.9}=\frac{2.25+\sqrt{71.7025}}{9.8}
$