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-6x^2+25x+11=0
a = -6; b = 25; c = +11;
Δ = b2-4ac
Δ = 252-4·(-6)·11
Δ = 889
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{-(25)-\sqrt{889}}{2*-6}=\frac{-25-\sqrt{889}}{-12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+\sqrt{889}}{2*-6}=\frac{-25+\sqrt{889}}{-12} $
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