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=2.5 x  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=2ab±D=22.5±2.25 x1,2=1.25±0.75 x1=2 x2=0.5  z=1/x1=1/2=0.5

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