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0.5x^2+6x-432=0
a = 0.5; b = 6; c = -432;
Δ = b2-4ac
Δ = 62-4·0.5·(-432)
Δ = 900
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{900}=30$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-30}{2*0.5}=\frac{-36}{1} =-36 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+30}{2*0.5}=\frac{24}{1} =24 $
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