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-81x=-3x^2
We move all terms to the left:
-81x-(-3x^2)=0
We get rid of parentheses
3x^2-81x=0
a = 3; b = -81; c = 0;
Δ = b2-4ac
Δ = -812-4·3·0
Δ = 6561
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{6561}=81$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-81)-81}{2*3}=\frac{0}{6} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-81)+81}{2*3}=\frac{162}{6} =27 $
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