 Then any trinomial, in which two terms are squares (and positive) and the other term is plus or minus twice the product of the square roots of those two terms, is the square of the sum or difference of those two square roots according as the third term...  First-year Mathematics for Secondary Schools - Σελίδα 136των George William Myers, William Rockwell Wickes, Ernst Rudolph Breslich, Harris Franklin MacNeish, Ernest August Wreidt - 1906 - 181 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | George W. Lilley - 1892 - 420 σελίδες
...of this method depends upon the principle that a trinomial is a perfect square when one of its terms is plus or minus twice the product of the square roots of the other two. This process enables us to extract the square root of the member containing the unknown... | |
 | James Morford Taylor - 1893 - 358 σελίδες
...a perfect square, if when its terms are arranged according to the powers of some letter, its second term is plus or minus twice the product of the square roots of its first and last terms. To obtain the square root of such a trinomial, connect the square roots of... | |
 | George P. Lilley - 1894 - 522 σελίδες
...of this method depends upon the principle that a trinomial is a perfect square when one of its terms is plus or minus twice the product of the square roots of the other two. This process enables us to extract the square root of the member containing the unknown... | |
 | Ellen Hayes - 1897 - 244 σελίδες
...are the following : 1. A trinomial so constituted that two of its terms have like signs and the third term is plus or minus twice the product of the square roots of the other two terms is factorable. That is, a + b ± c is factorable if a and 6 have like signs, and... | |
 | Louis Parker Jocelyn - 1902 - 460 σελίδες
...viz. 44. 2717 жг - 2223 a? — 1729 xy — 5681 :A/z. 199. Prop. 3. Л trinomial, one of whose terms is plus (or minus) twice the product of the square roots of the other two, is equal to two binomial factors, each the sum (or difference) of these square roots.... | |
 | George Albert Wentworth - 1906 - 440 σελίδες
...аж2 - 3 a*y. 135. When a Trinomial is a Perfect Square. A trinomial is a perfect square if two of its terms are perfect squares and positive, and the other term is plus or minus twice the product of their square roots. Thus, 4 x2 + 1 2 xy + 9 у* and 4 x2 - 12 xy + 9 y2 are perfect squares. The rule... | |
 | George William Myers - 1909 - 390 σελίδες
...binomial, plus the square of the second term of the binominal. Then any trinomial, in which two terms are squares (and positive) and the other term is plus...roots according as the third term is plus or minus. 23. Factor k'+бkl+gl'. k2 and 9/* are squares, and 6kl is twice the product of their square roots,... | |
 | George William Myers - 1909 - 394 σελίδες
...binomial, plus the square of the second term of the binominal. Then any trinomial, in which two terms are squares (and positive) and the other term is plus or minus twice the product of th2 square roots of those two terms, is the square of the sum or difference of those two square roots... | |
 | George Wentworth, David Eugene Smith - 1913 - 478 σελίδες
...is a perfect square if the first and last terms are positive and are perfect squares and the middle term is plus or minus twice the product of the square roots of the first and last terms. Thus a2 + 2 ab will become a perfect square if o2 is added. It then becomes... | |
 | George Albert Wentworth - 1913 - 296 σελίδες
...is a perfect square if the first and last terms are positive and are perfect squares and the middle term is plus or minus twice the product of the square roots of the first and last terms. To factor a trinomial that is a perfect square, arrange it according to the... | |
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