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X2+12X-7200=0
We add all the numbers together, and all the variables
X^2+12X-7200=0
a = 1; b = 12; c = -7200;
Δ = b2-4ac
Δ = 122-4·1·(-7200)
Δ = 28944
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{28944}=\sqrt{144*201}=\sqrt{144}*\sqrt{201}=12\sqrt{201}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12\sqrt{201}}{2*1}=\frac{-12-12\sqrt{201}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12\sqrt{201}}{2*1}=\frac{-12+12\sqrt{201}}{2} $
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