Question

Write the nature of roots of quadratic equations 4x^2+4√3x+3=0

Answer 1

solve d=b²-4ac

if d>0 then roots are real

d<0 then roots are imag

d=0 then roots are equal

Answer 2

Answer:

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

Hence, roots are imaginary.

As d< 0