 Omitting the term that is equal to twice the product of the square roots of the other tico, connect the square roots of the other two by the sign of the term omitted.  Algebra for Beginners - Σελίδα 80των William Frothingham Bradbury, Grenville C. Emery - 1894 - 128 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | 1836 - 798 σελίδες
...trinominal be arranged according to the powers of any letter in it, and if, in that form, the second term is equal to twice the product of the square roots of the first and third terms, then that trinominal is the square of a binominal formed by connecting the roots... | |
 | John Fair Stoddard, William Downs Henkle - 1859 - 538 σελίδες
...considering ax*, and bx as the first and last term of the square, and finding the middle term which is equal to twice the product of the square roots of the other two. Hence, two terme being given, we can find three terms, any one of which being added to the given terms... | |
 | William Frothingham Bradbury - 1868 - 264 σελίδες
...± 2 ab -\- W is a ± 6. Hence, to obtain the square root of a trinomial which is 'a perfect square, Omitting the term that is equal to twice the product of the square roots of the other two, connect the square roots of the other two by the sign of the term omitted. Ans.?-?11. Find the square... | |
 | William Frothingham Bradbury - 1868 - 270 σελίδες
...equal to twice the product of he square roots of the other two, take for each factor the quare rool of each of the other two connected by the sign of the term omitted. 3. Find the factors of a? — 2 xy + f. Ans. (a:— y) (x — y). 4. Find the factors of 4 a2 c2 +... | |
 | William Frothingham Bradbury - 1872 - 268 σελίδες
...(a — b) its factors at once by the converse of the principle in Theorem III. Art. 5D. Hence, RULE. Omitting the term that is equal to twice the product...the square root of each of the other two connected bij the sign of the term omitted. 3. Find the factors of x2 — 2xy-}-/. Ans. (x—y) (x — y). 4.... | |
 | William Frothingham Bradbury - 1875 - 280 σελίδες
...ofа*±2a6-|-6» is a ± 6. Hence, to obtain the square root of a trinomial which ¡sa perfect square, Omi(ting the term that is equal to twice the product of the square roots of the other two, connect the square roots of the other two by the sign of the term omitted. 11. Find the square root... | |
 | William Frothingham Bradbury - 1877 - 280 σελίδες
...(a — 6) its factors at once by the converse of the principle in Theorem III. Art. 59. Hence, RULE. Omitting the term that is equal to twice the product of the square roots of the other two, take fur each factor the square root of each of the other two connected by the sign of the term omitted.... | |
 | William Frothingham Bradbury - 1877 - 302 σελίδες
...± 2 a b -f- V is a ± b. Hence, to obtain the square root of a trinomial which is a perfect square, Omitting the term that is equal to twice the product of the square roots of the other tico, connect the square roots of the other two by the sign of the term omitted. 11. Find the square... | |
 | 1888 - 492 σελίδες
...— 1, a5ô5 — msи5. 126. V. Any trinomial of which two terms are positive squares, and the third equal to twice the product of the square roots of the other two may be separated into two equal binomial factors. Thus, a2 + 2aô + ô2 = (a + b) (a + b). a? — 2ab... | |
 | William Frothingham Bradbury, Grenville C. Emery - 1889 - 428 σελίδες
...following Kil1«. Omitting the term tluit is equal to twice the product of the square roots of Им other two, take for each factor the square root of each of the other two connected by tlie sign of the term omitted. Find the factors of : 3. c* + 2cd + d*. ^ • 10. 4 + 9x2-12x. 4. x2... | |
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