Question

One root of Quadratic ${4x}^2-8kx-9$ is negative of the other so the value of $k$ is

• A. 0
• B. $\frac{9}{8}$
• C. $-\frac{9}{8}$
• D. $\frac{9}{4}$

Answer 1

The correct option is A 0

Let $\alpha \&\beta$ be the zeros of the polynomial $4x^2-8kx-9$

Given that $\alpha =-\beta$

Then $\alpha +\beta =0$

-(coefficient of $x$)/ (coefficient of $x^2)=0$

$\frac{-b}{a}=0$

$\frac{8k}{4}=0$

$2k=0$

$k=0$