हिंदी

If (1 – p) is a root of the equation x2 + px + 1 – p = 0, then roots are: -

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प्रश्न

If (1 – p) is a root of the equation x2 + px + 1 – p = 0, then roots are:

विकल्प

  • 0, 1

  • –1, 1

  • 0, –1

  • –1, 2

MCQ

उत्तर

0, –1

Explanation:

(1 – p) is a root.

∴ (1 – p)2 + p(1 – p) + 1 – p = 0

⇒ (1 – p) (1 – p + p + 1) = 0

⇒ (1 – p) (2) = 0

⇒ p = 1

x2 + x = 0

One root = 0 and another root = – 1

∴ Roots are 0 and – 1.

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