Question

if a-b=7and ab=18. find a+b

Answer 1

As we know,
IDENTITY 2:
(a-b) ^2 = a + b - 2 ab

(7)^2 = a + b - 2 (18)

49 = a + b - 36

a + b = 49 - 36

So,a + b = 13
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Answer 2

Identity:
${(a + b)}^{2} = {(a - b)}^{2} + 4ab$
$= {7}^{2} + 4(18) \\ = 49 + 72 \\ = 121$
$a + b = 11$
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