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3x^2+40x-28=0
a = 3; b = 40; c = -28;
Δ = b2-4ac
Δ = 402-4·3·(-28)
Δ = 1936
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{1936}=44$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(40)-44}{2*3}=\frac{-84}{6} =-14 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+44}{2*3}=\frac{4}{6} =2/3 $
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