Complex NumbersWhat happens when the discriminant is negative.10th Gradei is defined as the square root of −1. Acomplex number has a real part and animaginary part.i² = −1 · a + bi√(−9)3i√9 × √(−1).i²−1By definition.(2 + 3i) + (1 − i)3 + 2iAdd real to real, imaginary to imaginary.(2 + 3i)(1 − i)5 + iFOIL, then replace i² with −1.THE COMMON MISTAKE✗ √(−9) = −3✓ √(−9) = 3iA negative under the root does not make the answer negative — it makes it imaginary.i cycles: i, −1, −i, 1, then repeats. Divide the exponent by 4 anduse the remainder.Complex Numberswww.littleactivity.com

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Math · 10th Grade

Complex Numbers

What happens when the discriminant is negative.

How to use it

Treat i like a variable until you meet i², then replace it with −1.

Free · print-ready PDF · US Letter and A4

Grade
10th Grade
Ages
15–16
Subject
Math
Pages
1

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