Question

If one zero of the quadratic polynomial f(x) equals to four x square minus 8kx- nine is negative of the other ,find the value of k

Answer 1

Hey!

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Let @ (alpha) and ß (beta) be the zeroes of the quadratic polynomial 4x^2 - 8kx - 9

Given,

@ = - ß

Then,

@ + ß = 0

- b / a = 0

- (-8kx ) / 4 = 0

8kx / 4 = 0

2k = 0

k = 0

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Hope it helps...!!!

Answer 2

Heya !

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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


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Hope it helps u !!!

Cheers :))

# Nikky