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If 2a = √64 and b/a=3, evaluate a2 + b2
waec-2019 ssce-exam-2019 waec-mathematics-2019 math
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If 2a = √64 and b/a=3, evaluate a2 + b2

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peter
Asked by peterrep:1.6K
University of Lagos Nigeria
17 July 2020

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judziy
Judziy answeredrep:1.8K
University of Benin Nigeria
20 July 2020
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2a = √64 ----------- eqn(1)

b/a=3 -------- eqn(2)

from eqn(2), multiply both sides by a,

b = 3a ---------- eqn(3)

Also, from eqn(1), 2a = 8

divide both sides by 2,

a = 8/2

a = 4

substitute a = 4 into eqn(3)

b = 3(4)

b = 12

Thus, a2 + b2 = 42 + 122

= 16 + 144

= 160

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