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Solve for zz.\newline−4=∣z∣−9-4 = |z| - 9\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinez=z = _____ or z=z = _____

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Q. Solve for zz.\newline−4=∣z∣−9-4 = |z| - 9\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinez=z = _____ or z=z = _____
  1. Understand and Isolate: Understand the equation and isolate the absolute value.\newlineWe have the equation –4=∣z∣−9–4 = |z| − 9.\newline To isolate the absolute value, we need to add 99 to both sides of the equation.\newline−4+9=∣z∣−9+9-4 + 9 = |z| − 9 + 9\newline5=∣z∣5 = |z|
  2. Solve for zz: \newlineSince ∣z∣=5|z| = 5, zz can be either 55 or −5-5 because the absolute value of both 55 and −5-5 is 55.\newlineSo, z=5z = 5 or z=−5z=-5.

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