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6x^2-35x-42=0
a = 6; b = -35; c = -42;
Δ = b2-4ac
Δ = -352-4·6·(-42)
Δ = 2233
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{-(-35)-\sqrt{2233}}{2*6}=\frac{35-\sqrt{2233}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+\sqrt{2233}}{2*6}=\frac{35+\sqrt{2233}}{12} $
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