Question

If the zeros of p(x)=8x^2+15x-kare reciprocals then the value of k is

Answer 1

Given: The equation p(x) = 8x^2 + 15x - k

To find: the value of k ?

Solution:

• Now the equation is  8x^2 + 15x - k = 0

• Let the roots be a and 1/a, then:

                sum of roots is:

                a + 1/a = -15/8

                product of roots is:

                a(1/a) = -k/8

                1 = -k/8

                k = -8

Answer:

           So the value of k is -8.