Question

if one zero is the reciprocal of the other zero of polynomial 4x2+3x+a , then find the value of a.

Answer 1

Solution:-

Given:-

• Quadratic Equation:- 4x² + 3x + a
• One Zero is Reciprocal of another.

To Find:-

• value of a.

Find:-

Let the Zero be α.

=) Second Zero = 1/α

We know that,

Product of Zeroes = c/a

=) α × 1/α = a/4

=) 1 = a/4

=) a = 4

Hence,

a takes the value of 4.

Answer 2

Answer lies in the attachment.