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SOLUTION: Simplify quotient and write answer in a + bi form. 6
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Complex Numbers and the Complex Exponential - Department …
Web(1 + i) (1 + i) = 1×1 + 1×i + 1×i + i2 = 1 + 2i − 1 (because i 2 = −1) = 0 + 2i But There is a Quicker Way! Use this rule: (a+bi) (c+di) = (ac−bd) + (ad+bc)i Example: (3 + 2 i ) (1 + 7 i) = (3×1 − 2×7) + (3×7 + 2×1) i = −11 + 23 i Why Does That Rule Work? It is just the "FOIL" method after a little work: WebAug 20, 2016 · Explanation: Multiply both numerator and denominator by the complex conjugate of the denominator, then simplify: a + bi c − di = (a + bi)(c + di) (c − di)(c + di) = ac +adi + bci +bdi2 c2 − d2i2 = ac + adi +bci − bd c2 +d2 = (ac − bd) +(ad + bc)i c2 + d2 = ( ac − bd c2 + d2) + ( ad +bc c2 +d2)i Answer link WebTo represent a complex number, we use the algebraic notation, z = a + ib with i 2 = -1 The complex number online calculator, allows to perform many operations on complex numbers. The complex number calculator is also called an … how many adults are in the world