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If one zero of the quadratic polynomial kx^2 + 3x + k is 2, then find the value of k.

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Question

If one zero of the quadratic polynomial kx2 + 3x + k is 2, then find the value of k.

Sum
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Solution

Given: x = 2 is one zero of the quadratic polynomial kx2 + 3x + k

Therefore, it will satisfy the above polynomial.

Now, we have

k(2)2 + 3(2) + k = 0

⇒ 4k + 6 + k = 0

⇒ 5k + 6 = 0 

⇒ k = `-6/5`

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Chapter 2: Polynomials - EXERCISE 2C [Page 66]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 2 Polynomials
EXERCISE 2C | Q 5. | Page 66

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