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+W*W+3+W+3=54
We move all terms to the left:
+W*W+3+W+3-(54)=0
We add all the numbers together, and all the variables
W+W*W-48=0
Wy multiply elements
W^2+W-48=0
a = 1; b = 1; c = -48;
Δ = b2-4ac
Δ = 12-4·1·(-48)
Δ = 193
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$W_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$W_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$W_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{193}}{2*1}=\frac{-1-\sqrt{193}}{2} $$W_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{193}}{2*1}=\frac{-1+\sqrt{193}}{2} $
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