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11x^2-21x-3=0
a = 11; b = -21; c = -3;
Δ = b2-4ac
Δ = -212-4·11·(-3)
Δ = 573
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{-(-21)-\sqrt{573}}{2*11}=\frac{21-\sqrt{573}}{22} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21)+\sqrt{573}}{2*11}=\frac{21+\sqrt{573}}{22} $
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