Question

If a + b = 5 and ab = 6 , then a – b =​

Answer 1

$Given \: a + b = 5 \: --(1) \: and \: ab = 6 \: --(2)$

$The \: value \: of \: (a-b) =\pm \sqrt{ (a+b)^{2} - 4ab }$

$= \pm \sqrt{ 5^{2} - 4 \times 6 }$

$= \pm \sqrt{ 25 -24 }$

$= \pm \sqrt{ 1 }$

$= \pm 1$

Therefore.,

$\red{The \: value \: of \: (a-b) }\green { = \pm 1}$

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