Question

if a-b=5 and ab=12 find the value of a2+b2

Answer 1

${a}^{2} + {b}^{2} = {a}^{2} + {b}^{2} - 2ab + 2ab \\ = ( {a - b)}^{2} + 2ab \\ put \: the \: values \: of \: a - b = 5 \\ ab = 12 \\ = ( {5)}^{2} + 2(12) \\ = 25 + 24 \\ = 49$

Answer 2

Here we go:-
Given:-

a-b=5

ab =12

To find:- a²+ b²
......
(a-b)²= a²+b²-2ab

=> (5)²= a²+b² - 2*12

=>25+24= a²+ b ²

...So. a²+b²= 49
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