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7.94x^2+33.2x+2190=5000
We move all terms to the left:
7.94x^2+33.2x+2190-(5000)=0
We add all the numbers together, and all the variables
7.94x^2+33.2x-2810=0
a = 7.94; b = 33.2; c = -2810;
Δ = b2-4ac
Δ = 33.22-4·7.94·(-2810)
Δ = 90347.84
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{-(33.2)-\sqrt{90347.84}}{2*7.94}=\frac{-33.2-\sqrt{90347.84}}{15.88} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33.2)+\sqrt{90347.84}}{2*7.94}=\frac{-33.2+\sqrt{90347.84}}{15.88} $
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