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3b^2+7b-2=0
a = 3; b = 7; c = -2;
Δ = b2-4ac
Δ = 72-4·3·(-2)
Δ = 73
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{73}}{2*3}=\frac{-7-\sqrt{73}}{6} $$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{73}}{2*3}=\frac{-7+\sqrt{73}}{6} $
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