Question

what is the nature of the root of the quadratic equation
$4x {}^{2} - 8x + 9 = 0$
Real
Not real
Real and equal
wht is it​

Answer 1

Answer:

$to \: find \: nature \: of \: roots \: w e \: use \\ distriminate(d) = \sqrt{ {b}^{2} - 4ac } \\ where \: b = coefficient \: of \: x = - 8 \\ a = coefficient \: of \: {x}^{2} = 4 \\ c = constant \: term = 9 \\ d = \sqrt{ {8}^{2} - 4(4)(9)} \\ = \sqrt{64 - 144} \\ = \sqrt{ - 80} \\ distriminate \: is \: not \: a \: real \: number \: \\ so \: their \: roots \: are \: not \: a \: real \: number$