A=6
P=10
A=LW
P=2(L+W)
10=2(L+W)
5=L+W - 1st equation
6=LW - 2nd equation
L=5-W - came from the 1st equation
6=LW
6=(5-W)W
6=-W²+5W
W²-5W+6=0 - quadratic equation
(W-3)(W-2) - factor
W-3=0
W1=3
W-2=0
W1=2
sum of roots
3+2=5
product of roots
(3)(2)=6
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Answers & Comments
A=6
P=10
A=LW
P=2(L+W)
10=2(L+W)
5=L+W - 1st equation
6=LW - 2nd equation
L=5-W - came from the 1st equation
6=LW
6=(5-W)W
6=-W²+5W
W²-5W+6=0 - quadratic equation
(W-3)(W-2) - factor
W-3=0
W1=3
W-2=0
W1=2
sum of roots
3+2=5
product of roots
(3)(2)=6