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Goshia [24]
2 years ago
13

Solve: √2z+3 = - z. If there are multiple solutions, list them separated by a comma, e.g., 1, 2. If there is no solution,

Mathematics
2 answers:
Ray Of Light [21]2 years ago
5 0

Answer:

Step-by-step explanation:

\sqrt{2z} + 3 = -z

\sqrt{2z} = -z - 3

Square both sides , we have

2z = (-z-3)^{2}

2z = z^{2} + 6z + 9

re arranging the equation , we have

z^{2} + 6z - 2z + 9 = 0

z^{2} + 4z + 9 = 0

This will give a complex roots , solving by quadratic formula

z = -2 + \sqrt{5}i , -2 - \sqrt{5}i

laila [671]2 years ago
4 0

Answer:

<em>If you mean √2z + 3 = -z, the answer is ∅</em>

If you mean √2 z + 3 = -z

√2 z + 3 = -z

√2 z = -z - 3

√2 z + z  = - 3

z(√2 + 1) = -3

z = -3 / (√2 + 1)

z = -3 (√2 - 1)

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