Question

If one zero of the quadratic polynomial f(x)=4^2-8kx-9 is negative of the other,find the value of k.

Answer 1

Given f(x) = 4x^2 - 8kx - 9.

It is in the form of ax^2 + bx + c = 0 Where a = 4, b = -8k.

The sum of roots = -b/a.

                              8k/4 = 0

                               2k = 0

                                 k = 0.

Hope his helps!

Answer 2

hello users ....

solution:-
we know that;
for a quadratic equation
ax² + bx + c = 0

α + β = -b/a
where,
α,β are the roots of equation.

here,
According to given;
one root of equation is negative of other
=> α = -β
=> α + β = 0

here,
for quadratic equation...
4x² -8kx -9 = 0
α + β = -b/a = - (-8k/4)

=> 8k/4 = 0
=> 8k = 0
=> k = 0 Answer

⭐✡ hope it helps ⭐✡