Leave the two back to back certain even numbers alone taken as \[x\text{ }and\text{ }x\text{ }+\text{ }2.\] Now, \[x2\text{ }+\text{ }\left( x\text{ }+\text{ }2 \right)2\text{ }=\text{ }52\]...
The sum of the squares of two positive integers is 208. If the square of larger number is 18 times the smaller number, find the numbers.
How about we expect the two numbers to be x and y, y being the bigger of the two numbers. Then, at that point, from the inquiry \[x2\text{ }+\text{ }y2\text{ }=\text{ }208\text{ }\ldots \text{...
Divide 15 into two parts such that the sum of their reciprocals is 3/10
We should expect the two sections to be \[x\text{ }and\text{ }15\text{ }\text{ }x.\] now, \[150\text{ }=\text{ }45x\text{ }\text{ }3x2\] \[3x2\text{ }\text{ }45x\text{ }+\text{ }150\text{ }=\text{...
Two natural numbers differ by 3. Find the numbers, if the sum of their reciprocals is 7/10.
How about we believe the two normal numbers to be\[x\text{ }and\text{ }x\text{ }+\text{ }3\] . (As they vary by 3) now, \[20x\text{ }+\text{ }30\text{ }=\text{ }7x2\text{ }+\text{ }21x\] \[7x2\text{...
The sum of a number and its reciprocal is 4.25. Find the number.
Leave the number alone x. In this way, its complementary is 1/x now, \[4x2\text{ }\text{ }17x\text{ }+\text{ }4\text{ }=\text{ }0\] \[4x2\text{ }\text{ }16x\text{ }\text{ }x\text{ }+\text{...
Find the two natural numbers which differ by 5 and the sum of whose squares is 97.
We should expect the two normal numbers to be\[x\text{ }and\text{ }x\text{ }+\text{ }5\] . (As given they contrast by 5) So from the inquiry, \[x2\text{ }+\text{ }\left( x\text{ }+\text{ }5...
The sum of the squares of two consecutive natural numbers is 41. Find the numbers.
Allow us to take the two successive regular numbers as x and x + 1. So from the inquiry, \[x2\text{ }+\text{ }\left( x\text{ }+\text{ }1 \right)2\text{ }=\text{ }41\] \[2x2\text{ }+\text{ }2x\text{...
The product of two consecutive integers is 56. Find the integers.
let two continuous numbers to be $$ \[x\text{ }and\text{ }x\text{ }+\text{ }1.\] So from the inquiry, \[x\left( x\text{ }+\text{ }1 \right)\text{ }=\text{ }56\] \[x2\text{ }+\text{ }x\text{...