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12x^2+17x-19=0
a = 12; b = 17; c = -19;
Δ = b2-4ac
Δ = 172-4·12·(-19)
Δ = 1201
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{-(17)-\sqrt{1201}}{2*12}=\frac{-17-\sqrt{1201}}{24} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{1201}}{2*12}=\frac{-17+\sqrt{1201}}{24} $
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