# CBSE Class 10 Answered

**if one of the zeroes of quadratic polynomial F(x) = 4x² - 8kx - 9 is equal in magnitude but opposite in sign, find K**

Asked by rrajansinghakb199 | 08 Apr, 2024, 05:12: PM

Expert Answer

4 x^{2} - 8kx - 9 = 0

By dividing above equation by 4, we get

x^{2} - 2 k x - (9/4) = 0 ...................... (1)

If α and β are roots of above equation, then we get

x^{2} + ( α + β ) x + α β = 0 ..............(2)

If roots are equal in magnitude and opposite in sign , then ( α + β ) = 0

By comparing eqn.(1) and (2) , we get

( α + β ) = - 2 k x = 0

Hence k = 0

Answered by Thiyagarajan K | 09 Apr, 2024, 08:46: AM

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