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6x^2+81x-42=0
a = 6; b = 81; c = -42;
Δ = b2-4ac
Δ = 812-4·6·(-42)
Δ = 7569
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{7569}=87$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(81)-87}{2*6}=\frac{-168}{12} =-14 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(81)+87}{2*6}=\frac{6}{12} =1/2 $
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