The product

The product of a number plus that number and its inverse is two and one-half. What is the inverse of this number

Correct answer:

z =  0.5

Step-by-step explanation:

x+1/x=2.5  x2+1=2.5x  x2+1=2.5 x x22.5x+1=0  a=1;b=2.5;c=1 D=b24ac=2.52411=2.25 D>0  x1,2=b±D2a=2.5±2.252 x1,2=1.25±0.75 x1=2 x2=0.5   Factored form of the equation:  (x2)(x0.5)=0  z=1/x1=1/2=12=0.5

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