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3x+2x^2=112
We move all terms to the left:
3x+2x^2-(112)=0
a = 2; b = 3; c = -112;
Δ = b2-4ac
Δ = 32-4·2·(-112)
Δ = 905
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{-(3)-\sqrt{905}}{2*2}=\frac{-3-\sqrt{905}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{905}}{2*2}=\frac{-3+\sqrt{905}}{4} $
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