-4.9x^2-1.31x+10.5=0

Solution for -4.9x^2-1.31x+10.5=0 equation:

-4.9x^2-1.31x+10.5=0

a = -4.9; b = -1.31; c = +10.5;
Δ = b2-4ac
Δ = -1.312-4·(-4.9)·10.5
Δ = 207.5161
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{-(-1.31)-\sqrt{207.5161}}{2*-4.9}=\frac{1.31-\sqrt{207.5161}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.31)+\sqrt{207.5161}}{2*-4.9}=\frac{1.31+\sqrt{207.5161}}{-9.8}
$