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3x^2+29x-9.5=0
a = 3; b = 29; c = -9.5;
Δ = b2-4ac
Δ = 292-4·3·(-9.5)
Δ = 955
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{955}}{2*3}=\frac{-29-\sqrt{955}}{6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29)+\sqrt{955}}{2*3}=\frac{-29+\sqrt{955}}{6} $
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