Free complex number calculator - step-by-step solutions to help find the complex factors of the quadratic expressions, find all the complex number solutions, find the magnitude of complex number and find trigonometric form of a complex number.

To multiply two complex numbers z1 = a + bi and z2 = c + di, use the formula: z1 * z2 = (ac - bd) + (ad + bc)i. A complex number is a number that can be expressed in the form a + bi, where a …

你也可以用 复数计算器（Flash 版本）。 只要输入公式，然后按 "=" 按钮。 返回最大（离正无穷大最近的），但不大于自变数的整数。 返回最小（离负无穷大最近的），但不小于自变数的整数。 复数的 共轭。 例子：conj (2−3i) = 2 + 3i. 复数的实部。 例子：re (2−3i) = 2. 复数的虚部。 例子：im (2−3i) = −3i. 常数 π （3.141592654……）

As an imaginary unit, use i or j (in electrical engineering), which satisfies the basic equation i2 = −1 or j2 = −1. The calculator also converts a complex number into angle notation (phasor notation), exponential, or polar coordinates (magnitude and angle). Enter expression with complex numbers like 5* (1+i) (-2-5i)^2.

Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

An imaginary number is the product of a real number and the imaginary unit i, [note 1] which is defined by its property i2 = −1. [1][2] The square of an imaginary number bi is −b2. For example, 5i is an imaginary number, and its square is −25. The number zero is considered to be both real and imaginary. [3]

We used an imaginary number (5 i) and ended up with a real solution (−25). Imaginary numbers can help us solve some equations: Using Real Numbers there is no solution, but now we can solve it! Can you take the square root of −1? Well i can! The square root of minus one √ (−1) is the "unit" imaginary number, the equivalent of 1 for Real Numbers.

To turn 3 + 4i into reix form we do a Cartesian to Polar conversion: So 3 + 4i can also be 5e0.927 i. It is another way of having a complex number. This turns out to very useful, as there are many cases (such as multiplication) where it is easier to use the reix form rather than the a+bi form.

2019年8月7日 · 它本质上是表示一个 偏序，我可以把实数集上的偏序扩展到 复数集 上。 举个最简单的字典序的例子，你只要规定a+bi>c+di（a,b,c,d是实数，i是 虚数单位）当且仅当a>c或 (a=c且b>d)，那么这个结论就是对的。 可以。 正确的比较复数大小的姿势是. 这一点可以去wiki自查，跟群论数域有很大联系。 各位不要瞎定义复数比较大小，要严谨（逃） 证明自搜（应该没有）其他的比较姿势我不一定认同，但可能在群论上也是兼容自洽的呢？ （螺旋线序？ 如果可以的 …

Find the Quadratic Equation 5i , -5i Step 1 and are the two real distinct solutions for the quadratic equation , which means that and are the factors of the quadratic equation .