 The general rule, therefore, which we deduce from this, in order to resolve the equation xx = — px + g, is founded on this consideration : That the unknown quantity x is equal to half the coefficient, or multiplier of x on the other side of the equation,...  Elements of Algebra - Seite 221von Leonhard Euler - 1822 - 593 SeitenVollansicht - Über dieses Buch
 | John Bonnycastle - 1813 - 456 Seiten
...coefficient, or multiplier of x, in the second term of the equation, taken with a contrary sign, together with plus or minus the square root of the square of this number, and the known quantity that forms the absolute, or third term, of the equation (s). (A) This rule, which is more commodious... | |
 | John Bonnycastle - 1818 - 326 Seiten
...or multiplier of x, in the second term of the equation, taken with a contrary sign, together with ± the square root of the square of this number and the known quantity that forms the absolute, or third term, of the equation, (c) (c) This rule, which is more commodious... | |
 | Leonhard Euler - 1821 - 380 Seiten
...resolve the equation xx = — px + q, is founded on this consideration : That the unknown quantity x is equal to half the coefficient, or multiplier of...term of the equation. Thus if we had the equation xx = 6 x + 7, we should immediately say, that x = 3 ± V^+~7 = 3 ± 4, whence we have these two values... | |
 | James Ryan - 1824 - 550 Seiten
...equal to half the coefficient or multiplier of a; on the other side of the equation, plus or minus the root of the square of this number, and the known quantity,...term of the equation. Thus, if we had the equation x2=6a:+7, we should immediately say, that.r=3±y'(9+7) = 3±4 ; whence we have these two values of... | |
 | James Ryan, Robert Adrain - 1824 - 542 Seiten
...from that, in order to resolve a; 2 =— nx+n', is founded on this consideration. That the unknown a; is equal to half the coefficient or multiplier of x on the other side of the equation, plittt or minus the root of the square of this number, and the known quantity, which forms the third... | |
 | Charles Tayler - 1824 - 350 Seiten
...resolution of equations of this form; viz. The unknown quantity x is equal to half its coefficient, plus or minus the square root of the square of this number added to or subtracted from the known quantity, which forms the third term in the equation. For example,... | |
 | Silvestre François Lacroix - 1825 - 404 Seiten
...resolve the equation xx = — px + g, is founded on this consideration : That the unknown quantity x is equal to half the coefficient, or multiplier of...term of the equation. Thus if we had the equation a; x = 6 x + 7, we should immediately say, that x = 3 ± v/9+> = 3 ± 4, whence we have these two values... | |
 | Silvestre François Lacroix - 1825 - 394 Seiten
...resolve the equation xx — — px -\- q, is founded on this consideration : That the unknown quantity x is equal to half the coefficient, or multiplier of x on the other side of the equation, plus or tninus the square root of the square of this number, and the known quantity which forms the third term... | |
 | John Bonnycastle - 1825 - 336 Seiten
...or multiplier of x, in the second term of the equation, taken with a contrary sign, together with + the square root of the square of this number and the known quantity that forms the absolute or third term of the equation.* * This rule, which is more commodious in its... | |
 | James Ryan - 1826 - 430 Seiten
...from that, in order to resolve »2= — nx+n', is founded on this consideration. That the unknown x is equal to half the coefficient or multiplier of...the other side of the equation, plus or minus the root of the square of this number, and the known quantity, which forms the third term of the equation.... | |
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