Given that \(x^2 + y^2 + z^2 = 194\), calculate z if \(x = 7\) and \(\sqrt{y} = 3\)

Assessment: JAMB UTME - Mathematics - 1990 Subject: General Mathematics

Question 1 Report

Given that \(x^2 + y^2 + z^2 = 194\), calculate z if \(x = 7\) and \(\sqrt{y} = 3\)

Answer Details

Given that x2 + y2 + z2 = 194, calculate z if x = 7 and  y  = 3
x = 7
∴ x2 = 49
y  = 3
∴ y2 = 81 = x2 + y2 + z2 = 194
49 + 81 + z2 = 194
130 + z2 = 194
z2 = 194 - 130
= 64
z =  64
= 8

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