COMPLEX NUMBERS AND QUADRATIC EQUATIONS
COMPLEX NUMBERS AND QUADRATIC EQUATIONS 101 i2 =− −= − −11 1 1()() (by assuming ab× = ab for all real numbers) = 1 = 1, which is a contradiction to the fact that i2 =−1. Therefore, ab ab×≠ if both a and b are negative real numbers. Further, if any of a and b is zero, then, clearly, ab ab×== 0. 5.3.7 Identities We prove the following identity
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