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3x^2-37x+104=0
a = 3; b = -37; c = +104;
Δ = b2-4ac
Δ = -372-4·3·104
Δ = 121
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{121}=11$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-11}{2*3}=\frac{26}{6} =4+1/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+11}{2*3}=\frac{48}{6} =8 $
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