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4.4x^2-186x+930=0
a = 4.4; b = -186; c = +930;
Δ = b2-4ac
Δ = -1862-4·4.4·930
Δ = 18228
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{18228}=\sqrt{196*93}=\sqrt{196}*\sqrt{93}=14\sqrt{93}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-186)-14\sqrt{93}}{2*4.4}=\frac{186-14\sqrt{93}}{8.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-186)+14\sqrt{93}}{2*4.4}=\frac{186+14\sqrt{93}}{8.8} $
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