“quadratic equation”的概念、定义、翻译、参考文献-科学参考

quadratic equation

Physics

An equation of the second degree having the form ax²+bx+c=0. Its roots are:

$x = [- b \pm \sqrt (b^{2} - 4 a c)] / 2 a .$

Mathematics

A quadratic equation in the unknown x is an equation of the form ax² + bx + c = 0, where a, b and c are given real numbers, with a ≠ 0. This may be solved by completing the square or by using the quadratic formula

$x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a},$

which is established by completing the square. The term b² − 4ac is known as the discriminant. The equation has two distinct real roots, a repeated real root, or two complex conjugate roots, depending on whether the discriminant is positive, zero, or negative respectively.

If α‎ and β‎ are the roots of the quadratic equation ax² + bx + c = 0, then α‎ + β‎ = −b/a and αβ‎ = c/a. (See Viète’s formulae.) The quadratic formula is still valid over other fields provided that the discriminant has a square root in the field.

Chemical Engineering

A type of polynomial equation in which the highest power of the unknown variable is two, such as x². It has the general form:
$a x^{2} + b x + c = 0$

where a, b, and c are constants. The two roots of the equation can be obtained using the formula:
$x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$

单词	quadratic equation
释义	quadratic equation Physics An equation of the second degree having the form ax²+bx+c=0. Its roots are: $x = [- b \pm \sqrt (b^{2} - 4 a c)] / 2 a .$ Mathematics A quadratic equation in the unknown x is an equation of the form ax² + bx + c = 0, where a, b and c are given real numbers, with a ≠ 0. This may be solved by completing the square or by using the quadratic formula $x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a},$ which is established by completing the square. The term b² − 4ac is known as the discriminant. The equation has two distinct real roots, a repeated real root, or two complex conjugate roots, depending on whether the discriminant is positive, zero, or negative respectively. If α‎ and β‎ are the roots of the quadratic equation ax² + bx + c = 0, then α‎ + β‎ = −b/a and αβ‎ = c/a. (See Viète’s formulae.) The quadratic formula is still valid over other fields provided that the discriminant has a square root in the field. Chemical Engineering A type of polynomial equation in which the highest power of the unknown variable is two, such as x². It has the general form: $a x^{2} + b x + c = 0$ where a, b, and c are constants. The two roots of the equation can be obtained using the formula: $x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$
随便看	trope trophic cascade trophic efficiency trophic level trophoblast tropic tropical air tropical arid morphoclimatic zone tropical cyclone Tropical Cyclone Programme tropical dry forest tropical forest tropical montane forest tropical month tropical period Tropical Rainfall Measuring Mission tropical rain forest tropical semi-arid morphoclimatic zone tropical storm tropical wet–dry morphoclimatic zone tropical year Tropic of Cancer Tropic of Capricorn tropics tropism