Sum of a number and its reciprocal
WebReciprocal of a whole number will be 1 divided by the number and for 0 it is 1 divided by 0 which results infinity (∞). What is the reciprocal of 2/3? Reciprocal of 2/3 is 3/2 which can be also written as 1 1/2 (mixed number form) or 1.5 (decimal form) Web2 Oct 2024 · The sum of a number and 10 times its reciprocal is 7. Find the number.
Sum of a number and its reciprocal
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WebThe sum of the reciprocals of the perfect powers should be $$\sum_{k=2}^{\infty}\sum_{j=2}^{\infty}\frac{(-\mu(k))}{j^k}= \sum_{k=2}^{\infty}\mu(k)\left(1-\zeta(k ... Web1 Answer The smallest sum of a number n and its reciprocal 1n is 2 which occurs when n=1 . Any other value of n will produce a larger sum. Clear up mathematic problem. Mathematics is the language of the universe, and its problems are the challenges we must face to fully understand our place in it.
Web12 Nov 2013 · Since the sum of a number and its reciprocal = 4.25 ⇒ 4 (x2 + 1) = 17x ⇒ 4x2 + 4 = 17x ⇒ 4x2 – 17x + 4 = 0 ⇒ 4x2 – 16x – x + 4 = 0 ⇒ 4x (x – 4) – 1 ( x – 4) = 0 ⇒ (x – 4) (4x – 1) = 0 ⇒ (x – 4) = 0 or (4x – 1) = 0 ⇒ x = 4 or x = (1/4) ∴ The number is either 4 or (1/4). Recommend (0) Comment (0) person Agam Gupta Web14 Mar 2024 · The smallest sum of a number n and its reciprocal 1 n is 2 which occurs when n = 1. Any other value of n will produce a larger sum. Explanation: Let us consider a positive number n, making sure n ≠ 0 so that we don't have an undefined reciprocal. We want to find a 1 n such that n + 1 n is minimized. We can call this sum a function f (n) = n + 1 n.
WebIn Mathematics, the reciprocal of any quantity is, one divided by that quantity. For any number ‘a’, the reciprocal will be 1/a. If the given number is multiplied by its reciprocal, we … WebThe sum of a number and its reciprocal is 17/4. Find the number. Solution Let a numbers be x and its reciprocal is Then according to question By cross multiplication Or Thus, two …
WebFind a positive number such that the sum of the number and its reciprocal is as small as possible. Solution: Let us consider a positive number ‘x’ where x ≠ 0. ⇒ Reciprocal = 1/x. Sum of the number and its reciprocal, S = x + 1/x --- (1) To find minimum value, differentiate (1) w.r.t x and make dS/dx = 0.
WebThe sum of the reciprocals of the divisors of a perfect number is 2. When eight points are distributed on the surface of a sphere with the aim of maximizing the distance between them in some sense, the resulting shape corresponds to a square antiprism. hunter biden\\u0027s lawyer finally speaks outWeb29 Apr 2024 · The sum of a number and its reciprocal is 50/7. Find the number. List all possible solutions. The answers must be reduced fractions or integers. Wyzant Ask An … hunter biden\u0027s laptop pics and videosWeb9 Apr 2024 · Solution For Q.57 If the sum of two numbers is 40 , and the HCF and LCM of these numbers are 8 and 48 , respectively, then find the sum of the reciprocals of the numbers. Ans 1. 485 2. 487 3. 245 4 hunter biden\u0027s motherWeb12 Apr 2024 · Welcome to the Power BI April 2024 Monthly Update! We are happy to announce that Power BI Desktop is fully supported on Azure Virtual Desktop (formerly Windows Virtual Desktop) and Windows 365. This month, we have updates to the Preview feature On-object that was announced last month and dynamic format strings for … hunter biden\u0027s mother neilia hunterWebNow the sum of the number and its reciprocal is x+\frac1x x+ x1 Let f (x)=x+\frac1x f (x) = x+ x1 on [\frac13, 2] [31,2] Clearly f is a rational function continues on [\frac13, 2] [31,2] Now we need to find the absolute maximum (large) and absolute minimum (small) values of f (x) f (x) on [\frac13, 2] [31,2] marty tripes todayWeb16 Jul 2024 · asked Jul 16, 2024 in Quadratic Equations by Devakumari (52.3k points) closed Jul 17, 2024 by Devakumari. The sum of a number and its reciprocal is 2 1/20.The … hunter biden\u0027s military serviceWebIt's called the multiplicative inverse, but it's more commonly called a reciprocal. To understand the reciprocal, you must first understand that every whole number can be written as a fraction equal to that number … marty tripes shocks