Question 177832
A) L*w=2
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2L+2w=8
L+w=4 divide equation by 2.
L=4-w
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A) w(4-w)=2
4w-w^2=2
w^2-4w+2=0
w^2-4w  =-2
w^2-4w+4=-2+4 complete the square
(w-2)^2=2
w-2=+-sqrt(2)
w=2+-sqrt(2)
w=2+sqrt(2), L=2-sqrt(2) or vice versa
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Ed


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