quadratic equations (root)

Question

if -3 is one of the roots of the quadratic equations px²+(5p+1)x+8k-1=0 find

a) the value of p

b) the other roots of the equation

Answer 1

AGREED!

The best we can do is, for x=-3,since x^2 = 9,

9p -3 (5p+1) + 8k - 1 = 0

9p - 15p - 3 + 8k - 1 = 0

-6p - 4 + 8k = 0

Now, IF you meant that k really is p due to a typo, you typed k instead of p, then

2p - 4 = 0

2p = 4

p = 2

the quadratic equation is then 2x^2 + 11x + 15 = 0

( 2x + 5 )(x + 3 ) = 0

The other solution is x = -5/2