The sum 48

The sum of a number and its reciprocal is 5.2. Find the number.

Correct answer:

x1 =  5
x2 =  0.2

Step-by-step explanation:

x+x1=5.2  x2+1=5.2x  x2+1=5.2 x x25.2x+1=0  a=1;b=5.2;c=1 D=b24ac=5.22411=23.04 D>0  x1,2=2ab±D=25.2±23.04 x1,2=2.6±2.4 x1=5 x2=0.2

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