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6x^2+11x-49=0
a = 6; b = 11; c = -49;
Δ = b2-4ac
Δ = 112-4·6·(-49)
Δ = 1297
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{-(11)-\sqrt{1297}}{2*6}=\frac{-11-\sqrt{1297}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{1297}}{2*6}=\frac{-11+\sqrt{1297}}{12} $
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