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x*2x=1200
We move all terms to the left:
x*2x-(1200)=0
Wy multiply elements
2x^2-1200=0
a = 2; b = 0; c = -1200;
Δ = b2-4ac
Δ = 02-4·2·(-1200)
Δ = 9600
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{9600}=\sqrt{1600*6}=\sqrt{1600}*\sqrt{6}=40\sqrt{6}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40\sqrt{6}}{2*2}=\frac{0-40\sqrt{6}}{4} =-\frac{40\sqrt{6}}{4} =-10\sqrt{6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40\sqrt{6}}{2*2}=\frac{0+40\sqrt{6}}{4} =\frac{40\sqrt{6}}{4} =10\sqrt{6} $
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