Sum of an integer and its reciprocal
Web28 Sep 2024 · Commerce. 22.which of the following fractions is the result of the sum of an integer and its reciprocal? (1) 15/8 15/8 (2) 26/5 (3) 36/7 (4) 37/5. 22.Which of the …
Sum of an integer and its reciprocal
Did you know?
WebProve that for all positive real numbers x, the sum of x and its reciprocal is greater than 2. Proof. Let x be a real number such that x > 0. Observe that 0 (x 1)2 = x2 2x + 1, so 2x x2 +1 and thus 2 = 1 x 2x 1 x (x2 +1) = x+ 1 x as desired. Exercise 2.1.17 Prove that for all x;y 2R +, p xy x y 2, with equality if and only if x = y. Proof. Let ... WebWe introduce an explicit formula for a reciprocal sum related to the Riemann zeta function at s=6, and pose one question related to a computational formula for larger values of s.
WebThe sum of a number and its reciprocal is 4.25. Find the number. Medium Solution Verified by Toppr Let the number be x. So, its reciprocal is 1/x. Then according to the question, x+ x1=4.25 xx 2+1= 100425= 417 4x 2−17x+4=0 4x 2−16x−x+4=0 4x(x−4)−1(x−4)=0 (x−4)(4x−1)=0 x=4, 41 4x 2−17x+4=0 4x 2−16x−x+4=0 4x(x−4)−1(x−4)=0 (x−4)(4x−1)=0 WebWe now solve this quadratic equation using factorization method. 15 n^ {2} - 75 n - 3 n + 15 = 0 15 n ( n -5) -3 ( n - 5) = 0 (n - 5) ( 15 n - 3) = 0 n = 5, n = \frac {3} {15} So when N = 5, t he …
Web1. please remove this queston, look up harmonic series before people starting to downvote for the harmonic series or harminc number for the n'th time. – jimjim. May 28, 2013 at 10:19. 1. I wonder who and why did downvote all in this question, which is not about the harmonic series but about the n -th partial sum. WebInverse is just another word for opposite, and additive refers to the fact that when you add these opposite numbers together, they always equal 0. -4 + 4 = 0 In this case, -4 + 4 equals 0. So does -20 + 20 and -x + x. In fact, any …
WebExpert Answer. Question 15 (5 points) Find the positive integer that minimizes the sum of the number and its reciprocal. Write your answer in the box below (rounded to one …
WebQuestion 446609: The sum of a number and its reciprocal is given below. 29/10. Find the numbers. Answer by sudhanshu_kmr (1152) ( Show Source ): You can put this solution on YOUR website! x + 1/x = 29/10 => 10x^2 + 10 = 29x => 10x^2 -29x +10 =0 => 10x^2 -25x -4x +10 =0 => 5x (2x -5) -2 (2x-5) = 0 => (5x -2) (2x-5) = 0 numbers are 2/5 and 5/2. litle falks ny realtyWeb1. please remove this queston, look up harmonic series before people starting to downvote for the harmonic series or harminc number for the n'th time. – jimjim. May 28, 2013 at … lit led avec coffreWebSUM OF THE RECIPROCAL INTEGERS It is a simple matter to sum up the sum of the first N integers. It is done as follows- 2 ( 1) [(1 ] [2 ( 1)] .... ( ) 1 2 3 .... ( 2) ( 1) + = + + + − + = = + + … lit led rougeWebThe Sum of a Number and Its Reciprocal is 4.25. Find the Number. CISCE ICSE Class 10. Question Papers 359. Textbook Solutions 25655. MCQ Online Mock Tests 6. ... The sum … litle fischer carsWeb19 Jan 2024 · My attempt: we know that the sum of a number and its reciprocal is always greater than or equal to $2$ but I don't know how to find this sum. Stack Exchange … lit led mariaWebReciprocals. Age 16 to 18. Challenge Level. This is another solution by Yatir from Maccabim-Reut High School, Israel. First let's prove that the sum of a positive number and its … lit led lightsWeb29 Nov 2024 · Sum of zeroes and reciprocal of its zeroes of a polynomial are 10 and 12.5 respectively. What is the product of zeroes of that polynomial? asked Mar 1 Quadratic Equations Rohitpatil 54.5k points) mathematics quadratic-equations 0 votes 1 mathematics quadratic-equations 0 1 0 0 class-10 quadratic-equations litle ceasers near me