Question

a-b=2 and ab=15 find a+b

Answer 1

34

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Answer 2

Answer

$=> (a-b)^{2} = (a+b)(a-b)\\=> (2)^{2} = (a+b)(2)\\=> 4 = (a+b)(2)\\=> \frac{4}{2} = (a+b)$

.°. $a+b = 2$

If you wanted $a^{2} + b^{2}$

It will be:-

$=> (a-b)^{2} = a^{2} + b^{2} -2ab\\=> (2)^{2} = a^{2} + b^{2} -2(15)\\=> 4 = a^{2} + b^{2} - 30\\=> 4+30 = a^{2} + b^{2}$

.°. $a^{2}+b^{2} = 34$

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Hope it helps.

Thank You.