Nature of Roots

Algebra Level 3

If a > 1 a>1 , then the roots of the equation ( 1 a ) x 2 + 3 a x 1 = 0 (1-a)x^2 + 3ax - 1 = 0 are __________ \text{\_\_\_\_\_\_\_\_\_\_} .

both equal to zero both negative one positive one negative both non real (complex) both positive

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