If a - b = 7 and ab = 8, evaluate (i) a2 + b2 and (ii) a + b.
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Step-by-step explanation:
given, a-b=7.......(1)
ab=8........(2)
from (1), a= b+7
substituting in equation (2)
(b+7)(b)=8
b^2+7b-8=0
solve this quadratic equation we get,
b=1 or -8
let's take b=1
then, a=8
so, a^2+b^2=64+1=65
and a+b=8+1=9
hope it helps you
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