## Problems and ExamplesDeighton, Bell and Company, 1862 - 141 pages |

### From inside the book

Results 1-5 of 18

Page 15

...

...

**EQUATIONS**. Solve the following**equations**: 2x 3x 1 . x + = +12 . 3 4 Ans . x = 13 . 4 . b + 218 5 . - х - 2. 2x - 4 = 5x + 7 . 3. ( x - 1 ) ( x − 2 ) = ( x − 3 ) ( x − 4 ) . α Ꮳ a 9x + 7 2 - - α = 0 . b Ans . x = - - 31 . Ans . x ... Page 17

... b ) * + ( a − b ) * _ a + ( a2 — b2 ) ♧ 17 . ....... G. P. & ( a + b ) — ( a - b ) * - √√ / 2 ( √3 + 1 ) ( 2 −√3 ) - b ( √2 − 1 ) ( 3√3 −5 ) ( 2 + √2 ) = 2 + √ / 3 . 2 QUADRATIC

... b ) * + ( a − b ) * _ a + ( a2 — b2 ) ♧ 17 . ....... G. P. & ( a + b ) — ( a - b ) * - √√ / 2 ( √3 + 1 ) ( 2 −√3 ) - b ( √2 − 1 ) ( 3√3 −5 ) ( 2 + √2 ) = 2 + √ / 3 . 2 QUADRATIC

**EQUATIONS**. 1. x2 - 2x = 0 . ALGEBRA . 17. Page 18

Harvey Goodwin. QUADRATIC

Harvey Goodwin. QUADRATIC

**EQUATIONS**. 1. x2 - 2x = 0 . 2 . 1 3 . 4 . 5 . ( x - 1 ) ( x - 2 ) = 1 . 2x2 + 5x - 7 = 0 . 2x = 4+ x x - 1 2 6 - х - 0 + 20 Ans . x = 0 , or 2 . Ans . ( 3 ± √5 ) . = - Ans . x = 1 , or — . Ans . 3 , or 1 ... Page 20

...

...

**EQUATIONS**. 8. y― ( a − x ) = ( y − x ) * ( y − x ) * + ( a − x ) * = § ( a − x ) 3 ) = = x + 2y + 3z = 17 ) 2x + 3y + 2 = 12 . 3x + y + 22 = 13 ) 10 . 11 . 12 . 13 . 14 . 32. ** + = 2 . Ans . 1 , or√ . Ans . x = 3 , or ... Page 23

...

...

**EQUATIONS**. 1. What number is that , from the double of which if 2 be subtracted , the remainder will be 10 ? Ans . 6 . 2. There are two numbers , one of which is greater than the other by 3 , and the difference between the greater and ...### Other editions - View all

### Common terms and phrases

2nd Edition 3rd Edition 4th Edition acceleration tending arithmetical arithmetical mean arithmetical series bisected centre of gravity chord circle concave cone Conic Sections conjugate convex lens Crown 8vo cylinder determine diameter directrix distance drawn Elementary ellipse English equal equation extremity F. A. Paley Fcap feet Find the number find the value fluid focal length foci focus geometrical progression given point given weight harmonic mean horizontal inches incident inclined plane inscribed intersection Latin latus rectum locus luminous point middle point mirror Multiply parabola parallel particle describes passing perpendicular position Post 8vo pressure prism projected prove pully quantity radii radius ratio reflected refracting respectively shew sides sinČ specific gravity sphere spherical square straight line string subtends surface tangent tower velocity vertex vertical

### Popular passages

Page 7 - Newton's Principia, The First Three Sections of, with an Appendix : and the Ninth and Eleventh Sections. By JH Evans. MA 5th Edition. Edited by PT Main, MA 4s. Astronomy, An Introduction to Plane. By PT Main, MA Fcap. 8vo. cloth. 4s. Astronomy, Practical and Spherical. By B. Main, MA 8vo. 14«.

Page 14 - By CP MASON, Fellow of Univ. Coll. London. First Notions of Grammar for Young Learners. Fcap. 8vo.

Page 6 - Qusedam ; or the Principal Tenses of most of the Irregular Greek Verbs and Elementary Greek, Latin, and French Construction.

Page 7 - CAMBRIDGE SCHOOL AND COLLEGE TEXT-BOOKS. A Series of Elementary Treatises for the use of Students in the Universities, Schools, and Candidates for the Public Examinations.

Page 12 - DD 2nd Edition. Crown 8vo. 7s. 6d. Pearson on the Creed. Carefully printed from an early edition. With Analysis and Index by E. Walford, MA Post 8vo. 5s. An Historical and Explanatory Treatise on the Book of Common Prayer.

Page 10 - Edition revised. 31s. 6d. History of England, 1800-15. By Harriet Martineau, with new and copious Index. 1 vol. 3s- 6d. History of the Thirty Years

Page 4 - Post 8vo. 7s. 6d. Part II. Select Passages for Translation into Latin Lyric and Comic Iambic Verse. 3rd Edition. Post 8vo. 5s.

Page 10 - Modern Europe. By Dr. TH Dyer. 2nd Edition revised and continued. 5 vols. Demy 8vo. '21. 12s. 6d. The History of the Kings of Rome. By Dr. TH Dyer. 8vo.

Page 14 - Edition. Post 8vo. 4s. 6d, The Rudiments of English Grammar and Analysis. By E. Adams, Ph.D.

Page 10 - The History of Pompeii: its Buildings and Antiquities. By TH Dyer. 3rd Edition, brought down to 1874. Post 8vo. 7s. 6d. Ancient Athens : its History, Topography, and Remains. By TH Dyer. Super-royal 8vo. Cloth. 11. 5s. The Decline of the Roman Republic. By G.