SOLUTION: A number is 64 times the square of its reciprocal. What is the number?
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Question 1118465: A number is 64 times the square of its reciprocal. What is the number?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let the number = x.
x = 64 * (1/x)^2.
this is equivalent to x = 64 * 1^2 / x^2 which is equivalent to x = 64 * 1/x^2.
multiply both sides of the equation by x^2 to get x^3 = 64
take the cube root of both sides of the equation to get x = 4.
when x = 4, the equation of x = 64 * (1/x)^2 becomes 4 = 64 * (1/4)^2 which becomes 4 = 64 * 1/16 which becomes 4 = 4, confirming the solution is correct.
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