3. If z1 and z2 are the roots of the equation az^2 + bz + c = 0 where a, b and c are real number

Name: 3. If z1 and z2 are the roots of the equation az^2 + bz + c = 0 where a, b and c are real numbers with b^2 < 4ac, obtain a formula for z1^n + z2^n in terms of a, b, c, if n is any integer.
Uploaded: 2023-07-27T04:50:38-08:00
Duration: 27 s
Channel: Numerade
Description: 3. If z1 and z2 are the roots of the equation az^2 + bz + c = 0 where a, b and c are real numbers with b^2 < 4ac, obtain a formula for z1^n + z2^n in terms of a, b, c, if n is any integer.

Question

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Question

3. If $z_1$ and $z_2$ are the roots of the equation $az^2 + bz + c = 0$ where $a$, $b$ and $c$ are real numbers with $b^2 < 4ac$, obtain a formula for $z_1^n + z_2^n$ in terms of $a$, $b$, $c$, if $n$ is any integer.

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