Question

If a + b = 9 and ab = −22, find a – b

Answer 1

given:

$a + b = 9$

$ab = - 22$

$we \: know \: that$

$(a - b) {}^{2} = (a + b) {}^{2} - 4ab$

$so \: \: (a - b)$

$= \sqrt{81 - ( - 88)}$

$(a - b) \: = \sqrt{169}$

$= 13$

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