Question on: JAMB Mathematics - 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 Option: B

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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