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5x^2+23x-12=0
a = 5; b = 23; c = -12;
Δ = b2-4ac
Δ = 232-4·5·(-12)
Δ = 769
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{-(23)-\sqrt{769}}{2*5}=\frac{-23-\sqrt{769}}{10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+\sqrt{769}}{2*5}=\frac{-23+\sqrt{769}}{10} $
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