Advertisements
Advertisements
प्रश्न
The sum of a number and its reciprocal is 4.25; the number is ______.
पर्याय
`2 or 1/2`
`4 or 1/4`
`1/5 or 5`
`1/3 or 3`
उत्तर
The sum of a number and its reciprocal is 4.25; the number is `underlinebb(4 or 1/4)`.
Explanation:
Let the number be x
Then `x + 1/x = 4.25 = 425/100 = 17/4`
`\implies (x^2 + 1)/x = 17/4`
`\implies` 4(x2 + 1) = 17x
`\implies` 4x2 + 4 – 17x = 0
`\implies` 4x2 – 16x – x + 4 = 0
`\implies` 4x(x – 4) – 1(x – 4) = 0
`\implies` (x – 4)(4x – 1) = 0
Either x – 4 = 0 or 4x – 1 = 0
`\implies x = 4` or `x = 1/4`
`\implies x = 4` or `1/4`
संबंधित प्रश्न
The sum of a number and its reciprocal is 4.25. Find the number.
The denominator of a positive fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is 2.9; find the fraction.
Out of three consecutive positive integers, the middle number is p. If three times the square of the largest is greater than the sum of the squares of the other two numbers by 67; calculate the value of p.
The product of the digits of a two digit number is 24. If its unit’s digit exceeds twice its ten’s digit by 2; find the number.
The sum S of first n even natural numbers is given by the relation S = n(n + 1). Find n, if the sum is 420.
The product of two consecutive even whole numbers is 24, the numbers are ______.
Two integers differ by 2 and sum of their squares is 52. The integers are ______.
In a school, a class has 40 students out of which x are girls. If the product of the number of girls and number of boys in the class is 375; the number of boys in the class is ______.
The difference between the digits of a two-digit number is 2 and the product of digits is 24. If tens digit is bigger, the number is ______.
The sum of two whole numbers is 18 and their product is 45, the numbers are ______.
