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3.14x^2-14x-147=0
a = 3.14; b = -14; c = -147;
Δ = b2-4ac
Δ = -142-4·3.14·(-147)
Δ = 2042.32
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{-(-14)-\sqrt{2042.32}}{2*3.14}=\frac{14-\sqrt{2042.32}}{6.28} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+\sqrt{2042.32}}{2*3.14}=\frac{14+\sqrt{2042.32}}{6.28} $
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