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If the equation (a - 5) x^(2) + 2 (a - 1...

If the equation `(a - 5) x^(2) + 2 (a - 10) x + a + 10 = 0` has
roots of opposite sign , then find the values of a .

Text Solution

Verified by Experts

Roots of `(a - 5 )x^(2) +2(a - 10 )x + a + 10 = 0` are opposite in sign.
Then , product of roots is negative . That is `(a + 10)/(a - 5) lt 0`
or ` - 10 lt a lt 5` (using sign scheme method)
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