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30x^2+5x+66=40000
We move all terms to the left:
30x^2+5x+66-(40000)=0
We add all the numbers together, and all the variables
30x^2+5x-39934=0
a = 30; b = 5; c = -39934;
Δ = b2-4ac
Δ = 52-4·30·(-39934)
Δ = 4792105
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)-\sqrt{4792105}}{2*30}=\frac{-5-\sqrt{4792105}}{60} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{4792105}}{2*30}=\frac{-5+\sqrt{4792105}}{60} $
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