 If the resulting coefficient of я? be not + 1, divide both members by this coefficient. Complete the square by adding to both members the square of half the coefficient of x.  Elements of Algebra with Exercises - Page 306by George Egbert Fisher, Isaac Joachim Schwatt - 1899 - 478 pagesFull view - About this book
 | William Smyth - Algebra - 1851 - 272 pages
...solution of equations of this kind, viz : 1°. Reduce the equation to the form x2 -(- px = q. 2°. Complete the square by adding to both members, the square of half the coefficient of .x. in the second term. 3°. Extract the root of both members, taking care to give to the root of... | |
 | Webster Wells - Algebra - 1879 - 468 pages
...half the coefficient of x, and squaring the result. BULE. Reduce the equation to the form x2 + px = q. Complete the square by adding to both members the square of half the coefficient of x. Extract the square root of both members, and solve the simple equation thus found. 1. Solve the... | |
 | Webster Wells - Algebra - 1885 - 370 pages
...From the above operation we derive the following rule : Reduce the equation to the form я? -\-px = q. Complete the square by adding to both members the square of half the coefficient of x. 1. Solve the equation Зar — 8ж= — 4. Dividing by 3, я? -- = -- , 3 3 which is in the form... | |
 | Webster Wells - 1885 - 368 pages
...From the above operation we derive the following rule: Reduce the equation to the form я? +px = q. Complete the square by adding to both members the square of half the coefficient of x. 1. Solve the equation Зл-2 — 8ж = — 4. тл- -j- u . •, 8ж 4 Dividing by 3, аr —... | |
 | Webster Wells - Algebra - 1885 - 324 pages
...From the above operation we derive the following rule: Reduce the equation to the, form я? -\-px = q. Complete the square by adding to both members the square of half the coefficient of x. Extract the square root of both members, and solve the simple equation thus formed. 1. Solve... | |
 | Webster Wells - Algebra - 1889 - 584 pages
...From the above operation we derive the following rule: Reduce the equation to the form a? -\-px = q. Complete the square by adding to both members the square of half the coefficient of x. Extract the square root of both members, and solve the simple equation thus formed. 214 ALGEBRA.... | |
 | Webster Wells - Algebra - 1890 - 604 pages
...121 -22 = 11 9* 99 If the coefficient of a? is unity, the rule may be modified to read as follows : Complete the square by adding to both members the square of half the coefficient of x. 9. Solve the equation a? — 11 * = — 28. Adding to both members the square of — i f _ 28... | |
 | Webster Wells - Algebra - 1897 - 386 pages
...From the above example, we derive the following rule : Reduce the equation to the form я? + px = q. Complete the square by adding to both members the square of half the coefficient of x. 259. 1. Solve the equation 3я? — 8x = — 4 Dividing by 3 , ж2 - — = - - ; 3 3 which is... | |
 | Webster Wells - Algebra - 1897 - 522 pages
...From the above example, we derive the following rule : Reduce the equation to the form У? + px = q. Complete the square by adding to both members the square of half the coefficient of x. Extract the square root of both members, and solve the sim259. 1. Solve the equation Зл3- 8... | |
 | Webster Wells - Algebra - 1897 - 422 pages
...From the above example, we derive the following rule : Reduce the equation to the form я? + px = q. Complete the square by adding to both members the square of half the coefficient of x. Extract the square root of both members, and solve the sim259. 1. Solve the equation 3 я? —... | |
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