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-20x^2-60x-4.8=0
a = -20; b = -60; c = -4.8;
Δ = b2-4ac
Δ = -602-4·(-20)·(-4.8)
Δ = 3216
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{3216}=\sqrt{16*201}=\sqrt{16}*\sqrt{201}=4\sqrt{201}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-4\sqrt{201}}{2*-20}=\frac{60-4\sqrt{201}}{-40} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+4\sqrt{201}}{2*-20}=\frac{60+4\sqrt{201}}{-40} $
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