Question

2. Find the zero of the quadratic polynomial 4√3x2 + 5x - 2√3 and verify the relation between zeros and its coefficients.

Answer 1

Answer:

4√3 x^2 + 5x -2√3 (splitting the middle term)

=4√3 x^2 +(8-3)x -2√3

=4√3(√3x+2)-√3(√3x+2)

= (√3x+2) (4x-3)

x = -2/√3

x = √3/4

So, alpha + beta = -b/a

= -5/4√3

Sum of zeros = -2/√3 + √3/4

= -5/4√3

Alpha×beta = c/a

= -2√3/4√3

= -1/2

Product of zeros = -2/√3 × √3/4

= -2√3/4√3

= -1/2

Since the products and sum of zeros are same...Hence verified..

Hope this helps