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-6000+730x+31212(x^2)=0
determiningTheFunctionDomain 31212x^2+730x-6000=0
a = 31212; b = 730; c = -6000;
Δ = b2-4ac
Δ = 7302-4·31212·(-6000)
Δ = 749620900
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{749620900}=\sqrt{100*7496209}=\sqrt{100}*\sqrt{7496209}=10\sqrt{7496209}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(730)-10\sqrt{7496209}}{2*31212}=\frac{-730-10\sqrt{7496209}}{62424} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(730)+10\sqrt{7496209}}{2*31212}=\frac{-730+10\sqrt{7496209}}{62424} $
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