 The first step in the solution of such an equation is to complete the square ; that is, to add to each side the square of the quotient obtained from dividing the second term by twice the square root of the first term.  Shorter Course in Algebra - Page 174by George Albert Wentworth - 1887 - 250 pagesFull view - About this book
 | William Frothingham Bradbury - Algebra - 1868 - 264 pages
...completed without multiplying the equation, by adding to both members the square of the quotient arising from dividing the second term by twice the square root of the first. This method also becomes the same as the first method when the coefficient of z2 is unity. NOTE 3.... | |
 | William Frothingham Bradbury - Algebra - 1877 - 302 pages
...completed without multiplying the equation, by adding to both members the square of the quotient arising from dividing the second term by twice the square root of the first. This method also becomes the same as the first method when the coefficient of 3? is unity. NOTE 3.... | |
 | George Albert Wentworth - Algebra - 1881 - 406 pages
...6)2 = aV ± 2 abx + 12, it is evident that the expression aV dr 2 abx lacks only the third term, b2, of being a complete square. It will be seen that this...second term by twice the square root of the first term. 226. Every affected quadratic may be made to assume the form of a?x2 ± 2 abx = c. The first step in... | |
 | George Albert Wentworth - Algebra - 1884 - 552 pages
...the quotient obtained from dividing the second term by twice the square root of the first term. 226. Every affected quadratic may be made to assume the form of aV ± 2 abx — c. The first step in the solution of such an equation is to complete the square ; that... | |
 | George Albert Wentworth - Algebra - 1885 - 318 pages
...aV ± 2 abx + b2, it is evident that the expression a2з? ± 2 aèж lacks only the third term, b2, of being a complete square. . It will be seen that...affected quadratic may be made to assume the form of dix1 ± 2 abx = c. The first step in the solution of such an equation is to complete the square ; that... | |
 | George Albert Wentworth - Algebra - 1885 - 548 pages
...a?a? ± 2 ahx + 52, it is evident that the expression A2 ± 2а&r lacks only the ¿Лzrrf term, b2, of being a complete square. It will be seen that this...dividing the second term by twice the square root ofthefirst term. 226. Every affected quadratic may be made to assume the form of а?a? ± 2 abx = c.... | |
 | Webster Wells - Algebra - 1885 - 370 pages
...the principle of Art. 261 ; that is, by adding to both members the square of the quotient obtained by dividing the second term by twice the square root of the first. 1. Solve the equation 9яr — 5ж= 4. The quotient of the second term divided by twice the square... | |
 | Webster Wells - 1885 - 368 pages
...the principle of Art. 261 ; that is, by adding to both members the square of the quotient obtained by dividing the second term by twice the square root of the first. 1. Solve the equation 9 ar — 5 ж = 4. The quotient of the second term divided by twice the 5 5 square... | |
 | Webster Wells - Algebra - 1885 - 382 pages
...the principle of Art. 261 ; that is, by adding to both members the square of the quotient obtained by dividing the second term by twice the square root of the first. 1. Solve the equation 9 яr — 5 ж = 4. The quotient of the second term divided by twice the 5 5... | |
 | George Albert Wentworth - Algebra - 1888 - 518 pages
...= aV i 2 abx + ¿>2, it is evident that the expression aV ± 2а5я lacks only the ¿Am¿ term, Js, of being a complete square. It will be seen that this...dividing the second term by twice the square root of t he first term. 226. Every affected quadratic may be made to assume the form of aV i 2 abx = c. The... | |
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