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95x-0.5x^2-55x-300=2.500
We move all terms to the left:
95x-0.5x^2-55x-300-(2.500)=0
We add all the numbers together, and all the variables
-0.5x^2+95x-55x-300-(2.5)=0
We add all the numbers together, and all the variables
-0.5x^2+40x-302.5=0
a = -0.5; b = 40; c = -302.5;
Δ = b2-4ac
Δ = 402-4·(-0.5)·(-302.5)
Δ = 995
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{-(40)-\sqrt{995}}{2*-0.5}=\frac{-40-\sqrt{995}}{-1} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+\sqrt{995}}{2*-0.5}=\frac{-40+\sqrt{995}}{-1} $
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