Determine whether the given quadratic equation has roots). If so, find the root (s): z2 + 2z - 8 = 0.
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z^2 + 2z - 8 =0
z^2 + 4z - 2z - 8 =0
z(z - 4) -2(z - 4)=0
(z-4)(z-2)=0
z = 2,4
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Answer:
2z + 2z - 8 = 0
4z - 8 = 0
4z = 8
x = 8/4
= 2
Hence the root of the given equation is 2.
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