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-4.9x^2+289x+185=0
a = -4.9; b = 289; c = +185;
Δ = b2-4ac
Δ = 2892-4·(-4.9)·185
Δ = 87147
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{87147}=\sqrt{9*9683}=\sqrt{9}*\sqrt{9683}=3\sqrt{9683}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(289)-3\sqrt{9683}}{2*-4.9}=\frac{-289-3\sqrt{9683}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(289)+3\sqrt{9683}}{2*-4.9}=\frac{-289+3\sqrt{9683}}{-9.8} $
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