Question

if 9x²-(2k+3)x-25=0 has opposite roots. find the value of k​

Answer 1

Answer:

-3/2

Step-by-step explanation:

since the roots are opposite their sum is zero

sum of roots of a quadratic equation =-coefficient of x/coefficient of x^2

0=[-(-2k-3)/9]

0=2k+3/9

2k+3=0

2k=-3

k=(-3/2)