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x=3.14x^2
We move all terms to the left:
x-(3.14x^2)=0
We get rid of parentheses
-3.14x^2+x=0
a = -3.14; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-3.14)·0
Δ = 1
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{1}=1$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-3.14}=\frac{-2}{-6.28} =1/3.14 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-3.14}=\frac{0}{-6.28} =0 $
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