Question

Determine the nature of the roots of the for follo following quadratic equation from their discriminant √3x^2 + √2x - 2√3 =0​

Answer 1

Answer:

disc= 27 ans

real but not a perfect square

Step-by-step explanation:

$\sqrt{3} {x}^{2} + \sqrt{2}x - 2 \sqrt{3} = 0$

$here \\ a = \sqrt{3}\\ b = \sqrt{2} \\ c = - 2 \sqrt{3 }$

$as \: we \: know$

$disc = {b}^{2} - 4(a)(c)$

$putting \: values$

$disc = ( \sqrt{ {3}^{2} } - 4( \sqrt{3})( - 2 \sqrt{3})$

$disc = 3 + 8(3)$

$disc = 3 + 24$

$disc = 27ans$