quadratic-equation

(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 .

11(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.

00In 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.

00The value of such a fraction is the positive root of a quadratic equation whose coefficients are real and of which one root is negative.

00Consider the general quadratic equation ax 2 + bx + c = 0 where a 0.

00(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.

00The 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.

00Solve a quadratic equation using factors Errors Identify sources of errors.

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