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" To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36 14. "
An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of - Page 213
by Silvestre François Lacroix - 1825 - 144 pages
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An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - Algebra - 1811 - 230 pages
...and multiply the remainder by the number itself, the product shall be 21. Ans. 7 or 3. 11. To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36. 12. It is required to divide the number 24 into two such parts, that their product may be equal to...
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - Mathematics - 1814 - 528 pages
...lew ; v by theprob.x1 4 -- =ic,'.-i=^/ -- ,bx <2x = 12, and— =—=8. a 3 28. Divide the number 25 into two such parts, that the sum of their square roots may be 7. Let o=25, fc=7. x=one part, then a—x=the other, v by theprob. ^x+ ^/a—x=b; square both sides,...
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A Treatise of Algebra: Wherein the Principles are Demonstrated ... To which ...

Thomas Simpson - Algebra - 1821 - 426 pages
...y== 1,and y = 4 + \/ | ; consequently o; (1+J/) =! + \/£• PROBLEM LI. To divide the number 100 (a} into two such parts, that the sum of their square roots may be 14 (bJ * Let the greater part be x, and the lesser will be a — x ; therefore, ly the problem, \/ x +...
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Elements of algebra, compiled from Garnier's French translation of L. Euler ...

Charles Tayler - 1824 - 350 pages
...numbers is 10, and the sum of their squares is 52. What are the numbers ? ANS, 6 and 4. 8. Divide 89 into two such parts that the sum of their square roots may be 13. ANs. 64 and 25. 9. There are two numbers, whose difference' is to the difference of their square...
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An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of

Silvestre François Lacroix - Arithmetic - 1825 - 404 pages
...of two numbers being given ; to find the numbers. Ans. a — v6 — o* and a + V6 — o» . 141. Tn divide the number 100 into two such parts, that the...multiplied into the third, may be equal to 63 ; and the sum of the second and third, multiplied into the first equal to 28 ; also, that the sum of the first...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...was 50l. more than A.'s, was in trade five months ; what was A.'s stock ? Ans. 1 00l. 18. To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36. IQ. A and В distribute 12001. each among a certain number of persons ; A relieves 40 persons more...
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Elements of Algebra: Tr. from the French of M. Bourdon, for the ..., Volume 1

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 446 pages
...and multiply the remainder by the number itself, the product shall be 21. Ans. 1or 3. 19. To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36. 2Q. It is required to divide the number 24 into two such parts, that their product may be equal to...
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 378 pages
...difference, multiplied by the lesser, is equal to 12 ? Ans. 4 and 7, or fv/2 and y ^2. 3. To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36. 4. It is required to divide the number 24 into two such parts, that their product may be equal to 35...
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 320 pages
...the difference of their squares, may all be equal to one another. Ans. ^ ± J V5, and f ± \ V5. 17. Divide the number 100 into two such parts, that the...sum of their square roots may be 14. Ans. 64 and 36. 18. Divide the number 40 into two such parts, that twice their product shall be equal to the cube of...
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Elements of Algebra

Algebra - 1838 - 372 pages
...difference, multiplied by the lesser, is equal to 12 ? Ans. 4 and 7, or •§ v/2 and y V'23. To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36. 4. It is required to divide the number 24 into two such parts, that their product may be equal to 35...
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