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8-3x^2=x
We move all terms to the left:
8-3x^2-(x)=0
We add all the numbers together, and all the variables
-3x^2-1x+8=0
a = -3; b = -1; c = +8;
Δ = b2-4ac
Δ = -12-4·(-3)·8
Δ = 97
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{-(-1)-\sqrt{97}}{2*-3}=\frac{1-\sqrt{97}}{-6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{97}}{2*-3}=\frac{1+\sqrt{97}}{-6} $
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