3.85x^2-11.44x+3.03=0

Solution for 3.85x^2-11.44x+3.03=0 equation:

3.85x^2-11.44x+3.03=0

a = 3.85; b = -11.44; c = +3.03;
Δ = b2-4ac
Δ = -11.442-4·3.85·3.03
Δ = 84.2116
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{-(-11.44)-\sqrt{84.2116}}{2*3.85}=\frac{11.44-\sqrt{84.2116}}{7.7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11.44)+\sqrt{84.2116}}{2*3.85}=\frac{11.44+\sqrt{84.2116}}{7.7}
$