(viii.) The quadratic equation is the equation of two expressions, monomial or multinomial, none of the terms involving any power of x except x and x 2 .
(iii.) In solving a quadratic equation by the method of ï¿½ 38 (viii.) we may be led to a result which is apparently absurd.
In his Treatise of Algebra (1685) he distinctly proposes to construct the imaginary roots of a quadratic equation by going out of the line on which the roots, if real, would have been constructed.
The value of such a fraction is the positive root of a quadratic equation whose coefficients are real and of which one root is negative.
Consider the general quadratic equation ax 2 + bx + c = 0 where a 0.
(iii.) In solving a quadratic equation by the method of Ã¯¿½ 38 (viii.) we may be led to a result which is apparently absurd.
The quadratic equation x 2 +b 2 =o, for instance, has no real root; but we may treat the roots as being +b-' - I, and - b 1, 1 - 1, if -J - i is treated as something which obeys the laws of arithmetic and emerges into reality under the condition 1 1 - I.
Solve a quadratic equation using factors Errors Identify sources of errors.
The word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.