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4.5x^2+60x-1440=0
a = 4.5; b = 60; c = -1440;
Δ = b2-4ac
Δ = 602-4·4.5·(-1440)
Δ = 29520
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{29520}=\sqrt{144*205}=\sqrt{144}*\sqrt{205}=12\sqrt{205}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-12\sqrt{205}}{2*4.5}=\frac{-60-12\sqrt{205}}{9} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+12\sqrt{205}}{2*4.5}=\frac{-60+12\sqrt{205}}{9} $
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