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4.5x^2+5.63x-135=0
a = 4.5; b = 5.63; c = -135;
Δ = b2-4ac
Δ = 5.632-4·4.5·(-135)
Δ = 2461.6969
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{-(5.63)-\sqrt{2461.6969}}{2*4.5}=\frac{-5.63-\sqrt{2461.6969}}{9} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5.63)+\sqrt{2461.6969}}{2*4.5}=\frac{-5.63+\sqrt{2461.6969}}{9} $
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