Question

For which value of p will the equation (p^2 - 1) x^2 + px + q=0 not be a quadratic equation

Answer 1

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Answer 2

Solution:

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Given & To Find:

The value of p, to the equation, not to become a quadratic equation,

(p²- 1)x² + px + q = 0,

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We know that,

Quadratic equations are on the form ,

=>  ax² + bx + c = 0,

where, a ≠0,/

For the given equation, to be a quadratic equation,

p² - 1 ≠ 0,

Hence,

=> p² - 1 = 0,

=> p² = 1

=> p = 1,..

∴ If p = 1, the equation becomes,

0x² + bx + 1 =0,

=> bx + 1 =0 (which is not a quadratic equation),

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