If the question contains a typing error and should read, "The reciprocal of a number plus the reciprocal of twice the number equals one half ?" Then let 'n' be the number.
1/n + 1/2n = 1/2 : Multiply by 2n
2 + 1 = n : n = 3
NOTE : 1/3 + 1/6 = 1/2
The answer is 3.
5
10
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
Let's assume the number is x. According to the given equation, the reciprocal of x added to the reciprocal of twice the number (2x) is equal to 3/10. Therefore, the equation can be written as: 1/x + 1/(2x) = 3/10 To find the reciprocal, we can take the inverse of both sides of the equation: 1/(1/x + 1/(2x)) = 10/3 Thus, the reciprocal of the expression is 10/3.
If: x+18 = 2x Then: x = 18
The reciprocal of a number plus the reciprocal of twice the number equals Find the number. 1/2 find the number
5
10
??? explain better.
One.
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
Let's assume the number is x. According to the given equation, the reciprocal of x added to the reciprocal of twice the number (2x) is equal to 3/10. Therefore, the equation can be written as: 1/x + 1/(2x) = 3/10 To find the reciprocal, we can take the inverse of both sides of the equation: 1/(1/x + 1/(2x)) = 10/3 Thus, the reciprocal of the expression is 10/3.
Not always
2x + 5 =
There is no selected number so it would be a variable. The answer is 2n-9 (n is the number which you choose)
Let the number be x.Reciprocal of x = 1/xReciprocal of x + Reciprocal of 2x = 1/x + 1/(2x) = (3/2)x = 1.5xIf the value of x = 1/3 then answer is one half.If the value of x = 2 then answer is 3.So, the statement is true only for x = 1/3.___________1/x + 1/2x = 1/2Multiplying both sides of the equation by 2x gives:2x/x + 2x/2x = 2x/2This simplifies to:2 + 1 = xx = 3 (i.e. the reciprocal is 1/3)
The number required is 2/3 because 3*(2/3)+2*(3/2) = 5