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18x+4x*x=22
We move all terms to the left:
18x+4x*x-(22)=0
Wy multiply elements
4x^2+18x-22=0
a = 4; b = 18; c = -22;
Δ = b2-4ac
Δ = 182-4·4·(-22)
Δ = 676
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{676}=26$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-26}{2*4}=\frac{-44}{8} =-5+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+26}{2*4}=\frac{8}{8} =1 $
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