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