हिंदी

If 1 is a zero of the quadratic polynomial ax^2 – 3(a – 1)x – 1 is 1, then find the value of a.

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प्रश्न

If 1 is a zero of the quadratic polynomial ax2 – 3(a – 1)x – 1 is 1, then find the value of a.

योग
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उत्तर

Given: x = 1 is one zero of the polynomial ax2 – 3(a – 1)x – 1

Therefore, it will satisfy the above polynomial.

Now, we have

a(1)2 – (a – 1)1 – 1 = 0

⇒ a – 3a + 3 – 1 = 0

⇒ –2a = –2

⇒ a = 1

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अध्याय 2: Polynomials - EXERCISE 2C [पृष्ठ ६६]

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 2 Polynomials
EXERCISE 2C | Q 8. | पृष्ठ ६६

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