Problem: In the equation 2x2−hx+2k=02 x^{2}-h x+2 k=02x2−hx+2k=0, the sum of the roots is 444 and the product of the roots is −3-3−3. Then hhh and kkk have the values, respectively:
Answer Choices:
A. 8 and -6
B. 4 and -3
C. -3 and 4
D. -3 and 8
E. 8 and -3 Solution:
h/2=4,h=8,2k/2=−3,k=−3h / 2=4, h=8,2 k / 2=-3, k=-3h/2=4,h=8,2k/2=−3,k=−3.