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Multiple Choice Question (MCQ)
Q. 4. If a - 3 = 10/a, then the value of a are
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a - 3 = 10/a
a = 10/a + 3
a = (10 + 3a)/a
a² - 3a - 10 = 0
a² - 5a + 2a - 10 = 0
a(a-5) + 2 (a-5) = 0
(a-5)(a+2) = 0
As we know that if the product of two terms is zero then either first term is equal to zero or second term is equal to zero.
a-5 = 0
a = 5
or,
a + 2 = 0
a = -2
Therefore,
a = 5 , -2
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