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3.8x^2-30x-27=0
a = 3.8; b = -30; c = -27;
Δ = b2-4ac
Δ = -302-4·3.8·(-27)
Δ = 1310.4
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{-(-30)-\sqrt{1310.4}}{2*3.8}=\frac{30-\sqrt{1310.4}}{7.6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+\sqrt{1310.4}}{2*3.8}=\frac{30+\sqrt{1310.4}}{7.6} $
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