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Given that x2 + y2 + z2 = 194, calculate z if x = 7...

Mathematics
JAMB 1990

Given that x2 + y2 + z2 = 194, calculate z if x = 7 and \(\sqrt{y}\) = 3
  • A. \(\sqrt{10}\)
  • B. 8
  • C. 12.2
  • D. 13.4
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Correct Answer: Option B
Explanation
Given that x2 + y2 + z2 = 194, calculate z if x = 7 and \(\sqrt{y}\) = 3

x = 7

∴ x2 = 49

\(\sqrt{y}\) = 3

∴ y2 = 81 = x2 + y2 + z2 = 194

49 + 81 + z2 = 194

130 + z2 = 194

z2 = 194 - 130

= 64

z = \(\sqrt{64}\)

= 8

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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