2+81 0, Show that the sum of the four roots of the equation is zero. b) Given that f(z) =z' + 8x+ 24z+32z + 97, show that f(z) = (z+2)" + 81. Hence or otherwise, find the roots of the equation f(z) = (0. %3D

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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a) i ind in the form a + bi where a and b are real numbers, the roots of the equation
Transcribed Image Text:a) i ind in the form a + bi where a and b are real numbers, the roots of the equation
z* + 81 = 0. Show that the sum of the four roots of the equation is zero.
b) Given that f(z) =z + 8x+24z+32z + 97. show that f(z)= (z+2)* + 81. Hence or
otherwise, find the roots of the equation f(z) = (0.
2.
di
Transcribed Image Text:z* + 81 = 0. Show that the sum of the four roots of the equation is zero. b) Given that f(z) =z + 8x+24z+32z + 97. show that f(z)= (z+2)* + 81. Hence or otherwise, find the roots of the equation f(z) = (0. 2. di
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