...the sum of their squares = b. What numbers are they ? Ans. -. and 2 2 42) What two numbers are they, whose difference is 8, and the sum of whose squares is 544. Ans. 12 and 20. 43) What two numbers are they, whose product is 255, and the sum of whose squares is...

...x substituted in (A) will give y, whence the rest follows of course. 27) What two numbers are they, whose difference is 8, and the sum of whose squares is 544 ? The two equations are x — y = 8 (A) x*-\-y* = 544 (B) Proceed with them as in the preceding problem....

...When we have a* > 2 b ; Examples of Equations of the Second Degree. 24. What two numbers are they, whose difference is 8, and the sum of whose squares is 544? Ans. 12 and 20 ; or — 12 and — 20. 25. What two numbers are they, whose difference is a, and the...

...the sum of their squares. Examples of Equations of the Second Degree. 24. What two numbers are they, whose difference is 8, and the sum of whose squares is 544? Ans. 12 and 20 ; or — 12 and —20. 25. What two numbers are they, whose difference is a, and the...

...of two numbers cannot be greater than twice the sum of their squares. 32. What two numbers are they, whose difference is 8, and the sum of whose squares is 544 ? Ans. 12 and 20 ; or — 12 and —20. 33. What two numbers are they, whose difference is a, and the...

...product ia 255, and the sum of whose squares is 514 ? Ans. 15 and 17. Ex. 27. What two numbers are those whose difference is 8, and the sum of whose squares is 544 ? Ans. 12 and 20. Ex. 28. What two numbers are those whose sum ia 41. and the sum of whose squares...

...whose sum is 41, and the sum of whose squares is 901 J Ans. 16 and 26. 13. What two numbers are those, whose difference is 8, and the sum of whose squares is 544 ' Ans. 12 and 20. 14. A merchant sold a piece of cloth for 24 dollars, and gained as much per cent,...

...whose sum is 41, and the sum of whose squares is 901 ? Ans. 15 and 26. 13. What two numbers are those, whose difference is 8, and the sum of whose squares is 544 ? Ans. 12 and 20. 14. A merchant sold a piece of cloth for $24, and gained as much per cent, as the...

...o. ~~ 12. Find two numbers whose sum is 41, and the sum of whose squares is 901. Ans. 15 and 26. 13. Find two numbers whose difference is 8, and the sum of whose squares is 544. Ans. 12 and 20, or — 12 and — 20. 14. Find two numbers whose difference is a, and the sum of whose...

...square rods in the field. Required the length and breadth of the field. 8. What two numbers are those whose difference is 8, and the sum of whose squares is 544 ? 9. Divide the number 100 into two such parts that the sum of their square roots may be 14. Suggestion....