Question

find a-b if a+b=3 and ab=2

Answer 1

${(a - b)}^{2} = {(a + b)}^{2} - 4ab \\ \\ {(a - b)}^{2} = {3}^{2} -( 4 \times 2) \\ \\ {(a - b)}^{2} = 9 - 8 \\ \\ {(a - b)}^{2} = 1 \\ \\ (a - b) = \sqrt{1} = 1$
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