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x^2+5.3x-178=0
a = 1; b = 5.3; c = -178;
Δ = b2-4ac
Δ = 5.32-4·1·(-178)
Δ = 740.09
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{-(5.3)-\sqrt{740.09}}{2*1}=\frac{-5.3-\sqrt{740.09}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5.3)+\sqrt{740.09}}{2*1}=\frac{-5.3+\sqrt{740.09}}{2} $
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