. Use Definition 17.1.2 to find a complex number z satisfying the given equation. Definition 17.1.2 Equality Complex numbers z, = x, + iy; and z3 = x, + iy; are equal, z, = z3, if Re(z) = Re(z;) and Im(z) = Im(z). 2-i 1. 2z = i(2+ 9i) 2. z + 27 = 3. = 3 + 4i 1+31 1+2

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Chapter2: Second-order Linear Odes
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Use Definition 17.1.2 to find a complex number z satisfying the given equation.

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I. Use Definition 17.1.2 to find a complex number z satisfying the given equation.
Definition 17.1.2 Equality
Complex numbers z, = x, + iy, and z = x; + iy, are equal, z, = z3, if
Re(z,) = Re(z,) and Im(z,) = Im(z,).
2-i
1. 2z = i(2+ 9i)
2. z + 27 =
1+3i
3.=
== 3+ 4i
1+7
Transcribed Image Text:I. Use Definition 17.1.2 to find a complex number z satisfying the given equation. Definition 17.1.2 Equality Complex numbers z, = x, + iy, and z = x; + iy, are equal, z, = z3, if Re(z,) = Re(z,) and Im(z,) = Im(z,). 2-i 1. 2z = i(2+ 9i) 2. z + 27 = 1+3i 3.= == 3+ 4i 1+7
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