Diagonals 8397

Does a hexagon have 275 diagonals?

Correct answer:

n =  25

Step-by-step explanation:

n/2 (n3)=275  n/2 (n3)=275 0.5n21.5n275=0  a=0.5;b=1.5;c=275 D=b24ac=1.5240.5(275)=552.25 D>0  n1,2=2ab±D=11.5±552.25 n1,2=1.5±23.5 n1=25 n2=22  n=n1=25

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