Question

Find the zeros of the quadratic polynomial ✓3xsquare -8x+4✓3

Answer 1

Solution :

Given p(x ) = √3x² - 8x + 4√3

Let p( x ) = 0

√3x² - 8x + 4√3 = 0

Splitting the middle term, we get

=> √3x² -6x - 2x + 4√3 = 0

=> √3x² - √3 × √3 × 2x - 2x + 4√3 = 0

=> √3x( x - 2√3 ) - 2( x - 4√3 ) = 0

=> ( x - 2√3 )( √3x - 2 ) = 0

x - 2√3 = 0 or √3x - 2 = 0

x = 2√3 or x = 2/√3

Therefore ,

2√3 , -2/√3 are two zeroes of p(x).

••••