Question

If 2 is a root of the quadratic equation 3x^2+px-8=0 amd the quadratic equation 4x^2 -2px+k=0 has equal roots , fins the value of k

Answer 1

Answer:

3x2+px-8=0

x=2

3(2)2+p(2)-8=0

12+2p-8=0

2p+4=0

p=-2

4x2-2px+k=0

4(2)2-(-2)(2)+k=0

16+4+k=0

k=-20