| Popular educator - History - 1852
...term of the square of any binomial quantity is equal to the square of half the co-efficient of tho **root of the first term. From this principle is derived the following** METHOD FOB COMPLETING THE SQUARE. Take the square of half the co-efficient of the first power of the... | |
| William Nicholson - Science - 1809
...all the terms, that the equation may be reduced to this farm, x* ^ px = i J. Then add to both sides **the square of half the co-efficient of the first power of the** unkwown quantity, by which means the first side of the equation is made a complete square, and the... | |
| Jeremiah Day - Algebra - 1814 - 303 pages
...the last termof the square of any binomial quantity, is equal to th& square of half the co-efficient **of the root of the first term. From this principle,...square of half the co-efficient of the first power** if the unknown quantity, and add it to both sides of the equation. Before completing the square, the... | |
| William Nicholson - Natural history - 1819
...all the terms, that the equation may be reduced to this form, x' ±px = ± g. Then add to both sides **the square of half the co-efficient of the first power of the unknown quantity,** by which means the first side 6f the equation is made a complete square, and the other consists of... | |
| Adrien Marie Legendre - 1825 - 224 pages
...the known term of an equation of the second degree is negative in the second member, and greater than **the square of half the coefficient of the first power of the unknown quantity,** this equation can have only imaginary roots. 115. The expressions > V'"^, a + \s~-bi and, in general,... | |
| Silvestre François Lacroix - Algebra - 1825 - 276 pages
...the known term of an equation of the second degree is negative in the second member, and greater than **the square of half the coefficient, of the first power of the unknown quantity,** this equation can have only imaginary roots. 1 1 5. The expressions v/"^6, a + <S~—i>, and, in general,... | |
| Jeremiah Day - Algebra - 1831 - 332 pages
...the last term of the square of any binomial quantity, is equal to the square of half the co-efficient **of the root of the first term. From this principle is derived the following** rale: 305. To COMPLETE THE SQUARE in an affected quadratic equation: TAKE THE SQUARE OF HALF THE CO-EFFICIENT... | |
| Jeremiah Day - Algebra - 1832 - 332 pages
...the last term of the square of any binomial quantity, is equal to the square of half the co-efficient **of the root of the first term. From this principle...equation: TAKE THE SQUARE OF HALF THE CO-EFFICIENT** OP THE FIRST POWER OF THE UNKNOWN QUANTITY, AND ADD IT TO BOTH SIDES OF THE EQUATION. Before completing... | |
| Jeremiah Day - 1832
...the last term of the square of any binomial quantity, is equal to the square of half the co-efficient **of the root of the first term. From this principle is derived the following rule** : J 305. To COMPLETE THE SQUARE in an affected quadratic equation : TAKE THE SQUARE OF HALF THE CO-EFFICIENT... | |
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