Question

What is the nature of roots of quadratic equation $5x^2-7x+2=0?$

Answer 1

$5x^2-7x+2=0$

$a=5$

$b-7$

$c=2$

$b^2-4ac$

$=49-4\times 5\times 2$

$b^2-4ac=9$

$b^2-4ac>0$

$\therefore$ The roots are real and distinct.