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3x^2-9=39-4.3.4
We move all terms to the left:
3x^2-9-(39-4.3.4)=0
We add all the numbers together, and all the variables
3x^2-9-(37.28)=0
We add all the numbers together, and all the variables
3x^2-46.28=0
a = 3; b = 0; c = -46.28;
Δ = b2-4ac
Δ = 02-4·3·(-46.28)
Δ = 555.36
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{555.36}}{2*3}=\frac{0-\sqrt{555.36}}{6} =-\frac{\sqrt{}}{6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{555.36}}{2*3}=\frac{0+\sqrt{555.36}}{6} =\frac{\sqrt{}}{6} $
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