Question

find the zeros of the following quadratic polynomial and verify the relationship between zeros nd the coefficient4√3x^2+5x-2√3 ​

Answer 1

$4 \sqrt{3}x ^{2} \: + 5x - 2 \sqrt{3} = 0 \\ 4 \sqrt{3}x ^{2} - 3x + 8x - 2 \sqrt{3} = 0 \\ \sqrt{3} x(4x - \sqrt{3} ) + 2(4x - \sqrt{3} ) \\ \sqrt{3} x + 2 = 0 \: or \: 4x - \sqrt{3} = 0 \\ x = - 2 \div \sqrt{3} or \: x \: = \sqrt{3} \div 4$

$a = 4 \sqrt{3} \: b \: =5 \: and \: c = - 2 \div \sqrt{3}$

For x = root3/4

a/16 = x = root3/4