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-3.34x^2-1.645x+66.67=0
a = -3.34; b = -1.645; c = +66.67;
Δ = b2-4ac
Δ = -1.6452-4·(-3.34)·66.67
Δ = 893.417225
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{-(-1.645)-\sqrt{893.417225}}{2*-3.34}=\frac{1.645-\sqrt{893.417225}}{-6.68} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.645)+\sqrt{893.417225}}{2*-3.34}=\frac{1.645+\sqrt{893.417225}}{-6.68} $
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