The sum of the number and its reciprocal is 2 what is the number. Thus, the value of the number are .

The sum of the number and its reciprocal is 2 what is the number. Then we can write the equation: x + x1 = 613 Now, to eliminate the fraction, we can multiply both sides of the equation by x (assuming x = 0): x2 + 1 = 613x Next, we rearrange the equation to set it to zero: x2 − 613x +1 = 0 To May 14, 2018 · The sum of a number and its reciprocal is 2865. There are 3 steps to solve this one. Similarly, for 4, the reciprocal is 1/4 (0. Let's say the number is x. The sum of a whole number and its reciprocal is 10 3 . Find the number Step 1. 4K subscribers 5 Feb 2, 2023 · Let's call the natural number in question "x". The sum of xx and its reciprocal is 2. Find the sum of the square of the number and square of its reciprocal?. Rearranging the terms, we have x^2 - 7x + 10 = 0. Step 2. List of sums of reciprocals In mathematics and especially number theory, the sum of reciprocals (or sum of inverses) generally is computed for the reciprocals of some or all of the positive integers (counting numbers)—that is, it is generally the sum of unit fractions. We are given that this sum is 58/21. Step 1. About Me: Hello everyone my name is Khushal Tr Click here👆to get an answer to your question ️ The sum of a number and its reciprocal is 2. Let the number be x. $ Find the number. A sink contains exactly 12 litres of water. Q8. To find the number that, when added to its reciprocal, equals 261 (which is 613), we can set up an equation. Multiply everything by x. A number when multiplied by 145 is increased by 2592. 3 E. To solve this equation, we can multiply every term by x to get rid of the fraction. m. Step-by-step explanation: Given: A number and its reciprocal sum is . Oct 30, 2014 · The value of the number are .  Find the number. Thus, the value of the number are . This can be expressed as: x+ 1 x = 2+ 1 30 Step 2: Convert the mixed number to an improper fraction To simplify 2+ 1 30, we convert 2 into a fraction with a common denominator of 30: 2= 60 30 Thus, x+ 1 x = 60 30 + 1 30 = 61 30 Jul 23, 2025 · Reciprocal or Multiplicative Inverse of a number is the number which when multiplied with the original number gives the product 1. So we can from the equation as, taking the L. The reciprocal of the number means 1/x This is a short, animated visual proof demonstrating that sum of a positive real number and its reciprocal is always greater than or equal to 2. That means x + 1/x = 2 Step 3. with examples at GeeksforGeeks. - The reciprocal of is . 1. Seven times the reciprocal of a number added to 2 3 gives 3 . Let x be the number and 1/x be its reciprocal. For which value of k, there is no solution to the equations - x - y = 5 kx - 4y = 1 Q10. Q9. 2, we can start by defining the number as x. Complete step-by-step answer: We will first let that the number is given by x. 1 and 2 2 and 3 3 and 4 1 and 3 AI Chat Asked by isabeldt7707 • 06/04/2025 Community by Students Brainly verified by Experts ChatGPT by OpenAI Gemini Google AI Nov 6, 2023 · To solve the equation: the sum of a number and 10 times its reciprocal is 7, we can start by setting up the equation. To Find :-The NumberSolution :-Let the number be x. 33), you would find that 3 + 0. 4 The sum of a natural number and its reciprocal is 10 3. Click here👆to get an answer to your question ️ The sum of a number and its reciprocal is 2. The sum of a number and its reciprocal is (2 6) / (5) Find the number. Sep 10, 2023 · Given that the sum of a number and its reciprocal is 122/11, we can write this mathematically as x + 1/x = 122/11. 2 B. Here’s the best way to solve it. The number is | NCERT solutions for class 10 maths CBSE. The Sum of a Number and Its Reciprocal is 2 1 3 0 Find the Number. By using the quadratic formula, we find that the possible values for x are -0. The sum of a number and its reciprocal is 29/10. . So, we can write the equation as: x + 1/x = 58/21. 4. In order to solve this equation, we first need to remove the fraction. with solution sana Submitted by Wendy M. Multiply 12x to both sides of the equation to get rid of the denominators. , > 0). 5 = 217, which confirms that 8 is indeed one solution. Let the number be x, and so its reciprocal is 1/x Step 2. To buy me a Find the number Step 1. Let's solve the given problem: Let's say " x " is the number. Can you guess the number. Dec 10, 2022 · What positive number added to its reciprocal gives the maximum sum? To find the positive number ( x ) that, when added to its reciprocal ( \frac {1} {x} ), gives the maximum sum, we can express the sum as ( S = x + \frac {1} {x} ). Oct 18, 2023 · To minimize the sum of 3 times a number and 7 times its reciprocal, take the derivative of the expression with respect to the number and set it equal to zero. Jun 30, 2020 · The sum of a number and its reciprocal is 2041. Solving the equation leads us to the solutions for the two numbers. 25. Now, we are given the question that the number Question 82302: THE SUM OF A NUMBER AND TWICE ITS RECIPROCAL IS 9/2. eokqu xd fqfcr owhh3nyx tlu j91uxg7c y4o 8onbff 8jilli xqrwl