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THE

ACADEMIC ALGEBRA

BY

WILLIAM F. BRADBURY, A. M.

HEAD MASTER OF THE CAMBRIDGE LATIN SCHOOL,

AND

GRENVILLE C. EMERY, A. M.

MASTER IN THE BOSTON LATIN SCHOOL.

TEACHER'S EDITION.

BOSTON:

THOMPSON, BROWN, AND COMPANY,

23 HAWLEY STREET.

RVARD

IVERSITY
LIBRARY

47x130

Copyright, 1800,

BY WILLIAM F. BRADBURY AND GRENVILLE C. EMERY.

University Press :
JOHN WILSON AND SON, CAMBRIDGE.

PREFACE.

A GREAT part of the profit, and nearly all the pleasure, in the study of Algebra are lost if the pupil is assisted in working the exercises and solving the problems. Whoever does for a pupil what he can do for himself does him an injury. This Teacher's Edition, therefore, is not designed for the use of pupils. But very many teachers have not the time to work out all the exercises and problems given in a book like The Academic Algebra. To assist such teachers is the special design of this work. The authors have endeavored to present the best models in the reduction of the equations, and the simplest and briefest solutions of the problems.

CAMBRIDGE, MASS., July, 1890.

W. F. B.

G. C. E.

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57, Ex. 47, change + b2 d2 to

to + (9 b2)

51, end of 8th line from bottom, change÷y to Xy.
56, Ex. 20, change 13 a2 x to 13 a2 x2.

- b2 d2.

60, Ex. 8, change (p + a p) x to (q + a p) x.

63, line 15, change 1000 to 100, and 94009 to 9409.

79, Ex. 17, change 6 x2 - 31 x + 35 to 6 x2 + 31 x + 35.

81, line 19, change ab-2 to

87, Ex. 33, change 48 to 4 x.

88, Ex. 46, Ans., change (2 y

95, line 3, change 30 to 30 x.

―a bn-2.

+ x)2 to 4 y2 + 2 x y + x2.

Page 96, Ex. 11, change 6 x3 to 6 x2.

66

66

77, Ex. 41, change 9 y2 to 90 y2.

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102, Ex. 5. Ans. (a2 - 1)2 (a2 — 4) (a3

a + 2).

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to 2 a (x − b).

26

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217, Ex. 8, change b c (b+c> to be (b+c) >.

233, Ex. 16, change 243 to 270, and 36480 to 4560. The consequent

changes in Ex. 16 are easily seen.

(Over.)

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