Let a, b, and c be any three nonzero complex numbers. If |z| = 1 and 'z' satisfies the equation az + bz + c = 0, prove that aa = cc and |a| |b|= √√ac (5)² ас

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let a, b, and c be any three nonzero complex numbers. If
|z| = 1 and 'z' satisfies the equation az² + bz + c = 0, prove that
aā = cō and |a| |b| = √|ac(b)².
Transcribed Image Text:Let a, b, and c be any three nonzero complex numbers. If |z| = 1 and 'z' satisfies the equation az² + bz + c = 0, prove that aā = cō and |a| |b| = √|ac(b)².
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