Question

In the equation $2x^2-hx+2k=0$, the sum of the roots is 4 and the product of the roots is -3. Then h and k have the values, respectively:

• A. 8 and -6
• B. 4 and -3
• C. -3 and 4
• D. -3 and 8
• E. 8 and -3

Answer 1

The correct option is E 8 and -3

$2x^2-hx+2k=0$

Sum of the roots = 4

$\frac{h}{2}=4$

$\therefore h=8$

Product of the roots = -3

$\frac{2k}{2}=-3$

$\therefore k=-3$