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72000=2x*x*24
We move all terms to the left:
72000-(2x*x*24)=0
We add all the numbers together, and all the variables
-(+2x*x*24)+72000=0
We get rid of parentheses
-2x*x*24+72000=0
Wy multiply elements
-48x^2*2+72000=0
Wy multiply elements
-96x^2+72000=0
a = -96; b = 0; c = +72000;
Δ = b2-4ac
Δ = 02-4·(-96)·72000
Δ = 27648000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{27648000}=\sqrt{921600*30}=\sqrt{921600}*\sqrt{30}=960\sqrt{30}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-960\sqrt{30}}{2*-96}=\frac{0-960\sqrt{30}}{-192} =-\frac{960\sqrt{30}}{-192} =-\frac{5\sqrt{30}}{-1} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+960\sqrt{30}}{2*-96}=\frac{0+960\sqrt{30}}{-192} =\frac{960\sqrt{30}}{-192} =\frac{5\sqrt{30}}{-1} $
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