Algebra for Beginners: With Numerous ExamplesMacmillan, 1863 - 264 σελίδες |
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Σελίδα 158
... square of the unknown quantity , but no higher power . 227. A pure quadratic equation is one which contains only the ... extract the square root , thus x = ± 5 . In this example , we find by the Rule for solving a simple equation , that ...
... square of the unknown quantity , but no higher power . 227. A pure quadratic equation is one which contains only the ... extract the square root , thus x = ± 5 . In this example , we find by the Rule for solving a simple equation , that ...
Σελίδα 160
... square of half the coefficient of x , and then extract the square root of each side . It will be seen from the examples which we shall now solve that the above rule leads us to a point from which we can immediately obtain the values of ...
... square of half the coefficient of x , and then extract the square root of each side . It will be seen from the examples which we shall now solve that the above rule leads us to a point from which we can immediately obtain the values of ...
Σελίδα 161
... extract the square root , x + 4 transpose , 7 or - 5 . 3 17 x = - ㄓ 4 = 2 234. Solve x2 - 4x - 1 = 0 . By transposition , x2 - 4x = 1 ; add 22 , x2 - 4x + 22 = 1 + 4 = 5 ; extract the square root , x - 2 = ± √√5 ; transpose , x = 2 ...
... extract the square root , x + 4 transpose , 7 or - 5 . 3 17 x = - ㄓ 4 = 2 234. Solve x2 - 4x - 1 = 0 . By transposition , x2 - 4x = 1 ; add 22 , x2 - 4x + 22 = 1 + 4 = 5 ; extract the square root , x - 2 = ± √√5 ; transpose , x = 2 ...
Σελίδα 162
... extract the square root we have - x - 3 = √√ 4 . But 4 can have no square root , exact or approximate , because any number , whether positive or negative , if mul- tiplied by itself , gives a positive result . In this case the ...
... extract the square root we have - x - 3 = √√ 4 . But 4 can have no square root , exact or approximate , because any number , whether positive or negative , if mul- tiplied by itself , gives a positive result . In this case the ...
Σελίδα 163
... extract the square root , x + == ; 2 therefore x = 19 39 + 2 2 = 10 or -29 . 239. Solve = x + 3 x - 3 2x - 3 + x + 2 x - 2 X- -1 ° Clear of fractions ; thus ( x + 3 ) ( x - 2 ) ( x - 1 ) + ( x - 3 ) ( x + 2 ) ( x − 1 ) = ( 2x - 3 ) ( x ...
... extract the square root , x + == ; 2 therefore x = 19 39 + 2 2 = 10 or -29 . 239. Solve = x + 3 x - 3 2x - 3 + x + 2 x - 2 X- -1 ° Clear of fractions ; thus ( x + 3 ) ( x - 2 ) ( x - 1 ) + ( x - 3 ) ( x + 2 ) ( x − 1 ) = ( 2x - 3 ) ( x ...
Άλλες εκδόσεις - Προβολή όλων
Algebra for Beginners; With Numerous Examples Isaac Todhunter Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Algebra for Beginners: With Numerous Examples Isaac Todhunter Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Algebra for Beginners: With Numerous Examples - Primary Source Edition Isaac Todhunter Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2014 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b-c a+b+c a²-b² a²+2ab+b² a²+b² Algebra arithmetical means Arithmetical Progression beginner brackets called Cambridge Chapter cloth College compound expression Crown 8vo cube root decimal denominator denote the number digits Divide the number dividend division divisor Edition equal example extract the square factors find the numbers Find the value following expressions gallons Geometrical Geometrical Progression give given greatest common measure half Harmonical means Hence integer least common multiple less Let x denote letter meaning miles multiply number of persons number of terms number represented obtain positive whole number problem quadratic equation quotient ratio remainder result Rule of Signs shew shillings simple expressions Solve square root student subtract Suppose surd third tion transpose travels Treatise unknown quantity
Δημοφιλή αποσπάσματα
Σελίδα 263 - New Edition. Crown 8vo. $s. KEY TO PLANE TRIGONOMETRY. Crown 8vo. los. 6d. A TREATISE ON SPHERICAL TRIGONOMETRY. New Edition, enlarged. Crown 8vo. 4-?. 6d. PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.
Σελίδα 267 - Ferrers. — AN ELEMENTARY TREATISE ON TRILINEAR CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projectors. By the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge.
Σελίδα 260 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Σελίδα 265 - The earlier sections of each chapter contain that kind of matter which has usually been thought suitable for the beginner, while the latter ones are devoted either to an account of recent discovery, or to the discussion of such deeper questions of principle as are likely to present themselves to the reflective student in connection with the methods and processes of his previous course.
Σελίδα 28 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 261 - Mr. Smith's Work is a most useful publication. The Rules are stated with great clearness. The P^xamples are well selected and worked out with just sufficient detail without being encumbered by too minute explanations ; and there prevails throughout it that just proportion of theory and practice, which is the crowning excellence of an elementary work.
Σελίδα 265 - Boole has endeavoured in this treatise to convey as complete an account of the present state of knowledge on the subject of Differential Equations, as was consistent with the idea of a work intended, primarily, for elementary instruction. The earlier sections of each chapter contain that kind of matter which has usually been thought suitable...