Absolute Value Equations

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Complex Numbers were introduced to solve equations like: x² + 1 = 0 (No real solution exists) But mathematicians didn't give up — they extended the idea of numbers by introducing i, where: i² = -1 This was revolutionary — it opened doors to solve problems which were once considered unsolvable. A complex number is written as z = a + ib, where: - a = Real part - b = Imaginary part - i² = -1

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