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24x^2+11x-16=0
a = 24; b = 11; c = -16;
Δ = b2-4ac
Δ = 112-4·24·(-16)
Δ = 1657
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{1657}}{2*24}=\frac{-11-\sqrt{1657}}{48} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{1657}}{2*24}=\frac{-11+\sqrt{1657}}{48} $
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