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12-(3x^2)=(12-3)x2
We move all terms to the left:
12-(3x^2)-((12-3)x2)=0
We add all the numbers together, and all the variables
-3x^2-(9x2)+12=0
We add all the numbers together, and all the variables
-12x^2+12=0
a = -12; b = 0; c = +12;
Δ = b2-4ac
Δ = 02-4·(-12)·12
Δ = 576
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{576}=24$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24}{2*-12}=\frac{-24}{-24} =1 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24}{2*-12}=\frac{24}{-24} =-1 $
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