55x^2-174x+56=0

Solution for 55x^2-174x+56=0 equation:

55x^2-174x+56=0

a = 55; b = -174; c = +56;
Δ = b2-4ac
Δ = -1742-4·55·56
Δ = 17956
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17956}=134$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-174)-134}{2*55}=\frac{40}{110}
=4/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-174)+134}{2*55}=\frac{308}{110}
=2+4/5
$