Variation equation

Solve combinatorics equation:

V(2, x+8)=72

. .. variations second class from x+8 items

Correct answer:

x =  1

Step-by-step explanation:

V(2,x+8)=72 (x+8)(x+7)=72  (x+8) (x+7)=72 x2+15x16=0  a=1;b=15;c=16 D=b24ac=15241(16)=289 D>0  x1,2=b±D2a=15±2892 x1,2=15±172 x1,2=7.5±8.5 x1=1 x2=16   Factored form of the equation:  (x1)(x+16)=0 x>0 x=x1=1=1

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