x + 1/x = 2 x + 1/x - 2 = 0 x2 - 2x + 1 = 0 ( x - 1 )( x - 1 ) = 0 x = 1
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A number . . . ' x 'Its reciprocal . . . 1/xTwice its reciprocal . . . 2/xThe sum of (the number) and (twice its reciprocal) . . . x + 2/xThe equation:x + 2/x = 3Multiply each side of the equation by 'x' :x2 + 2 = 3xSubtract 3x from each side:x2 - 3x + 2 = 0Factor the left side, in order to see what's going on:(x - 1) (x - 2) = 0This is true if 'x' is either ' 1 ' or ' 2 '.x = 1The sum of the number and twice its reciprocal . . . 1 + 2/1 = 3X = 2The sum of the number and twice its reciprocal . . . 2 + 2/2 = 3
== The sum of any number and zero is that number.(2+0== 2) == the sum of any number and zero is that number. (2+0=2)
Say, find the reciprocal of 2 = 1/2 Reciprocal of 1/2 = 2
The reciprocal of 2 is 1/2 (one-half). The reciprocal of any number is 1/number. Simply stated: The reciprocal of any number is the inverse of that number. Let some number, any number, be represented by 'a'. The reciprocal of 'a' is 1/'a'.
Suppose the numbers are x and y Then the sum of their reciprocals is 1/x + 1/y = y/xy + x/xy = (y+x)/xy = 10/20 = 1/2