Question

If the roots of the given equation (2k + 1)x2
- (7k + 3) x + k + 2 = 0 are reciprocal to
each other, then the value of k will be​

Answer 1

EXPLANATION

• GIVEN

roots of the equation are reciprocal to

each other

equation are =

(2k + 1 ) x^2 - (7k + 3 ) x + k + 2 = 0

TO FIND VALUE OF K

products of roots = c/a

roots are reciprocal to each other

a X 1/a = 1

1 = c/a

1 = k + 2 / 2k + 1

2k + 1 = k + 2

k = 1

Hence, value of k = 1 = ANSWER