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=(W1+W2)
We move all terms to the left:
-((W1+W2))=0
We add all the numbers together, and all the variables
-((+W+W^2))=0
We calculate terms in parentheses: -((+W+W^2)), so:We get rid of parentheses
(+W+W^2)
We get rid of parentheses
W^2+W
Back to the equation:
-(W^2+W)
-W^2-W=0
We add all the numbers together, and all the variables
-1W^2-1W=0
a = -1; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·(-1)·0
Δ = 1
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}$$W_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1}=1$$W_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*-1}=\frac{0}{-2} =0 $$W_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*-1}=\frac{2}{-2} =-1 $
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