Question

if x=-2 is a root find the value of p of equation 3x2 + 7x +p =0 then find the value of k so that the the roots of the equation x2 + k(4x +k-1)+p=0 are equal

Answer 1

p =2
and
4+k(-8+k-1)+2=0
6+-9k +k^2=0 now u can use any method for solve

Answer 2

$3( { - 2}^{2} ) + 7( - 2) + p = 0 \\ 3(4) + ( - 14) + p = 0 \\ 12 - 14 + p = 0 \\ p = 2 \\ \\ ( - 2) {}^{2} + k(4( - 2) + k - 1) + 2 = 0 \\ 4 + k( - 8 + k - 1) + 2 = 0 \\ 4 - 8k + k ^{2} - k + 2 = 0 \\ k {}^{2} - 9k + 6 = 0$