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Solve for zz.\newlinez2=144z^2 = 144\newlinez=z = _____ or _____

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Full solution

Q. Solve for zz.\newlinez2=144z^2 = 144\newlinez=z = _____ or _____
  1. Recognize the equation: Recognize the equation z2=144z^2 = 144.
  2. Find zz: To find zz, take the square root of both sides of the equation.
  3. Calculate square root: Calculate 144\sqrt{144}. Since 12×12=14412 \times 12 = 144, 144=12\sqrt{144} = 12.
  4. Consider positive and negative solutions: Remember, a square root has both a positive and a negative solution because (−12)×(−12)(-12) \times (-12) also equals 144144.
  5. Determine zz value: Therefore, zz can be 1212 or −12-12.

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