| 单词 | imaginary number |
| 释义 | imaginary number A number (symbol i) whose square equals a real negative number. Imaginary numbers were invented to allow equations to be solved when they have no real roots. For example, 1 has two real square roots, +1 and -1. The equation x2 = 1 thus has two real roots, x = 1 and x = -1. The number -1 has no real square roots, so the equation x2 = -1 has no real roots. However, the ‘imaginary’ number, denoted by i, allows the equation x2 = -1 to have two imaginary roots, x = i and x = -i. By convention i always precedes any coefficient other than 1 or -1. |
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