Question

the sum of the roots of the quadratic equation 2 x² + ( 2k – 1 ) x – ( k - 4 ) = 0 is equal to the product of its roots , then the value of k is : *

Answer 1

Step-by-step explanation:

given eq is 2x^2+(2k-1)x-(k-4)=0------>ax^2+bx+c=0

sum of roots= -b/a = -(2k-1)/2

product of roots=c/a=-(k-4)/2

given (1-2k)/2 = (4-k)/2

1-2k=4-k

k= -3