Question

if -2 is the root of the equation 3xsquare +7x +p find the value of k so that the roots of the equation xsquare + kx(4k+k-1)+p=0​

Answer 1

Answer:

Root = -2

3x^2 + 7x + p = 0

[3(-2)]^2 +7*-2 + p = 0

36 - 14 + p = 0

p = -22

x^2 + kx (4k +k - 1) + p = 0

-2^2 + -2k (5k -1) + -22 = 0

4 - 10k + 2k - 22 = 0

-8k -18 = 0

k = 18/-8 = -2.25