Question

The given quadratic equation have no real roots :
$3x^2-2x+2=$

• A. True
• B. False

Answer 1

The correct option is A True

$\Rightarrow$ The given quadratic equation is $3x^2-2x+2=0$, comparing it with $a{x}^2+bx+c=0$

$\Rightarrow$ We get, $a=3,b=-2,c=2$

$\Rightarrow$ Discriminant $=b^2-4ac$

$=(-2{)}^2-4(3\left)\right(2)$

$=4-24$

$=-20$

$\Rightarrow$ Since, Discriminant $<0$

$\therefore$ The given equation has no real roots.