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15.1666x^2-421.166666=0
a = 15.1666; b = 0; c = -421.166666;
Δ = b2-4ac
Δ = 02-4·15.1666·(-421.166666)
Δ = 25550.665426222
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)-\sqrt{25550.665426222}}{2*15.1666}=\frac{0-\sqrt{25550.665426222}}{30.3332} =-\frac{\sqrt{}}{30.3332} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{25550.665426222}}{2*15.1666}=\frac{0+\sqrt{25550.665426222}}{30.3332} =\frac{\sqrt{}}{30.3332} $
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