If a+b =9 and ab =-22 then the value of a-b is
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Given: a + b = 9
ab = -22
Find: (a-b) = ?
Sol:
(a+b)^2 = a^2 + b^2 + 2ab
9^2 = a^2 + b^2 + 2(-22)
a^2 + b^2 = 125
Now, (a-b)^2 = a^2 + b^2 - 2ab
(a-b)^2 = 125 - 2(-22)
(a-b)^2 = 169
a-b = +_13
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