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0=3.24x^2-0.9328x+0.051304
We move all terms to the left:
0-(3.24x^2-0.9328x+0.051304)=0
We add all the numbers together, and all the variables
-(3.24x^2-0.9328x+0.051304)=0
We get rid of parentheses
-3.24x^2+0.9328x-0.051304=0
a = -3.24; b = 0.9328; c = -0.051304;
Δ = b2-4ac
Δ = 0.93282-4·(-3.24)·(-0.051304)
Δ = 0.205216
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{-(0.9328)-\sqrt{0.205216}}{2*-3.24}=\frac{-0.9328-\sqrt{0.205216}}{-6.48} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.9328)+\sqrt{0.205216}}{2*-3.24}=\frac{-0.9328+\sqrt{0.205216}}{-6.48} $
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