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24x^2+19x=2
We move all terms to the left:
24x^2+19x-(2)=0
a = 24; b = 19; c = -2;
Δ = b2-4ac
Δ = 192-4·24·(-2)
Δ = 553
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{-(19)-\sqrt{553}}{2*24}=\frac{-19-\sqrt{553}}{48} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(19)+\sqrt{553}}{2*24}=\frac{-19+\sqrt{553}}{48} $
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