quadratic formula

Noun

Meaning

quadratic formula (plural quadratic formulas or quadratic formulae)

(mathematics) The formula



x
=



−
b
±



b

2


−
4
a
c




2
a





{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}}

for finding roots of the quadratic equation.

Examples

As the linear coefficient b increases, initially the quadratic formula is accurate, and the approximate formula improves in accuracy, leading to a smaller difference between the methods as b increases. Source: Internet

Avoiding loss of significance Although the quadratic formula provides what in principle should be an exact solution, it does not, from a numerical analysis standpoint, provide a completely stable method for evaluating the roots of a quadratic equation. Source: Internet

Even if a field does not contain a square root of some number, there is always a quadratic extension field which does, so the quadratic formula will always make sense as a formula in that extension field. Source: Internet

For example, the quadratic formula (which is the solution of the quadratic equation ) appears as: The formula is printed in a way a person would write by hand, or typeset the equation. Source: Internet

Consequently, the difference between the methods begins to increase as the quadratic formula becomes worse and worse. Source: Internet

For example, the above with the quadratic formula in display math: Novel aspects The TeX software incorporates several aspects that were not available in, or were of lower quality in, other typesetting programs at the time when TeX was released. Source: Internet

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