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If One Zero of the Quadratic Polynomial F(X) = 4x2 − 8kx − 9 is Negative of the Other, Find the Value Of K. - Mathematics

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प्रश्न

If one zero of the quadratic polynomial f(x) = 4x2 − 8kx − 9 is negative of the other, find the value of k.

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उत्तर

Since α and -α are the zeros of the quadratic polynomial f(x) = 4x2 − 8kx − 9

α - α = 0

`(-"coefficient of x")/("coefficient of "x^2)=0`

`(-8k)/4=0`

-8k = 0 x 4

-8k = 0

`k=0/-8`

k = 0

Hence, the value of k is 0.

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अध्याय 2: Polynomials - Exercise 2.1 [पृष्ठ ३४]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 2 Polynomials
Exercise 2.1 | Q 14 | पृष्ठ ३४

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