Question

For what value of C, roots of quadratic equation 4x2- 2x+(c-4) =0 are reciprocal of each other.

Answer 1

For what value of C, roots of quadratic equation 4x2- 2x+(c-4) =0 are reciprocal of each other.

Step-by-step explanation:

We let the one zero be α and other zero be 1/α .

Given quadratic equation is 4x² - 2x + (c - 4)= 0

When we compare with ax² + bx + c

a= 4 , b= 2 , c= c-4

The Product of zeroes(α.1/α)= c/a

α.1/α = (c - 4) /4

1 =  (c - 4) /4

4 = c -4

4+4 = c

c = 8

Therefore, the value of c = 8

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