4x^2+1056.2x+11153.3=0

Solution for 4x^2+1056.2x+11153.3=0 equation:

4x^2+1056.2x+11153.3=0

a = 4; b = 1056.2; c = +11153.3;
Δ = b2-4ac
Δ = 1056.22-4·4·11153.3
Δ = 937105.64
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{-(1056.2)-\sqrt{937105.64}}{2*4}=\frac{-1056.2-\sqrt{937105.64}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1056.2)+\sqrt{937105.64}}{2*4}=\frac{-1056.2+\sqrt{937105.64}}{8}
$