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x+2x^2=18
We move all terms to the left:
x+2x^2-(18)=0
a = 2; b = 1; c = -18;
Δ = b2-4ac
Δ = 12-4·2·(-18)
Δ = 145
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{-(1)-\sqrt{145}}{2*2}=\frac{-1-\sqrt{145}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{145}}{2*2}=\frac{-1+\sqrt{145}}{4} $
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