x^2-0.47x-27.23=0

Solution for x^2-0.47x-27.23=0 equation:

x^2-0.47x-27.23=0

a = 1; b = -0.47; c = -27.23;
Δ = b2-4ac
Δ = -0.472-4·1·(-27.23)
Δ = 109.1409
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{-(-0.47)-\sqrt{109.1409}}{2*1}=\frac{0.47-\sqrt{109.1409}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.47)+\sqrt{109.1409}}{2*1}=\frac{0.47+\sqrt{109.1409}}{2}
$