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3x^2-29x-56=0
a = 3; b = -29; c = -56;
Δ = b2-4ac
Δ = -292-4·3·(-56)
Δ = 1513
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{-(-29)-\sqrt{1513}}{2*3}=\frac{29-\sqrt{1513}}{6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+\sqrt{1513}}{2*3}=\frac{29+\sqrt{1513}}{6} $
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