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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 .

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To determine the values of \( a \) for which the equation \[ (a - 5)x^2 + 2(a - 10)x + (a + 10) = 0 \] has roots of opposite signs, we will follow these steps: ...
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