The values of -a- for which a2-1 x2-2a-1 x-2 is positive for all real x are

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The values of 'a' for which( a²-1)x²+2(a-1)x+2 is positive for all real x are

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The values of a for which( $a^{2} - 1$ ) $x^{2}$ + 2(a-1)x + 2 is positive for any x are

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(a - 1) x^{2} - (a + 1) x + a + 1 > 0

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(a^{2} + 2 a + 1) x^{3} + (a - 1) x^{2} - (a + 1) x = 0

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x^{2} - a x + 1 - 2 a^{2}

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(a + 1) x^{2} + 2 (a + 1) x + a - 2 = 0

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