Given that x2 y2 z2 194 calculate z if x 7 and ... - JAMB Mathematics 1990 Question
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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