4.9x^2-12.3x+3.86=0

Solution for 4.9x^2-12.3x+3.86=0 equation:

4.9x^2-12.3x+3.86=0

a = 4.9; b = -12.3; c = +3.86;
Δ = b2-4ac
Δ = -12.32-4·4.9·3.86
Δ = 75.634
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{-(-12.3)-\sqrt{75.634}}{2*4.9}=\frac{12.3-\sqrt{75.634}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12.3)+\sqrt{75.634}}{2*4.9}=\frac{12.3+\sqrt{75.634}}{9.8}
$