PROBLEMS,

PRODUCING

SIMPLE and QUADRATIC EQUATIONS,

WITH

THEIR SOLUTIONS.

DESIGNED AS AN

INTRODUCTION TO THE HIGHER BRANCHES
OF ANALYTICS.

BY MILES BLAND, B.D. F.R.S. & F.A.S.

RECTOR OF LILLEY, HERTS; AND LATE FELLOW AND TUTOR
OF ST. JOHN'S COLLEGE, CAMBRIDGE.

FOURTH EDITION.

CAMBRIDGE:

Printed by J. Smith, Printer to the University;

SOLD BY DEIGHTON & SONS, STEVENSON, BARRETT,
AND NEWBY, CAMBRIDGE; J. MAWMAN, AND
G. & W. B. WHITTAKER, LONDON.

Math 2258.24

HARVARD UNIVERSITY

LIBRARY

ADVERTISEMENT.

THE following pages contain a collection of Algebraical Problems designed solely to point out the various methods employed by Analysts in the Solution of Equations. They are arranged in the usual manner: 1. Simple Equations; 2. Pure Quadratics, and others which may be solved without completing the square; and 3. Adfected Quadratics. Utility being the sole object of this Publication, wherever a proper Example occurred, it has been taken without hesitation, or altered to suit the purpose. At the head of each Section are given the common Rules; and the whole concludes with a Collection of Problems without Solutions, for the Exercise of the Learner.

CONTENTS.

Definitions, &c. .

Solution of Simple Equations, involving only one unknown

Quantity .

Solution of Simple Equations, involving two unknown Quan-

tities....

Page

1

6

22

Solution of Simple Equations, involving three unknown

Quantities

43

Solution of Pure Quadratics, &c... .

48

Solution of Adfected Quadratics, involving only one unknown

Quantity

72

Solution of Adfected Quadratics, involving two unknown Quan-

tities

108