if a+b = 9, ab = -22, then a-b = ?
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Answer:
Here goes the solution!
(a + b)^2 = a2 + b2 + 2ab
Putting value of (a + b) given,
9^2 = a2 + b2 + 2×(-22)
81 = a2 + b2 - 44
81 + 44 = a2 + b2
a2 + b2 = 125
Now,
(a - b)^2 = a2 + b2 -2ab
Putting value of a2 + b2,
(a - b)^2 = 125 - 2×(-22)
(a - b)^2 = 125 + 44
(a - b)^2 = 169
a - b = √169
a - b = 13
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