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If one zero of the quadratic polynomialf(x)=4xsquare-8kx-9 is negative of the other, find the value of k

Posted by Aman Kumar 5 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years, 5 months ago

Comparing f(x) = 4x² - 8kx - 9 with ax2+bx+c we get
a=4; b=-8k and c=-9.
Since one root is the negative of the other, let us assume that the roots are p an -p.
Sum of the roots, a+(-a)=-b/a= - (-8k) / 4
0=2k
k=0

2Thank You

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CBSE > Class 10 > Mathematics