Question

28. Without solving the following equations, comment
upon the nature of their roots :
ki 2x2-5x-1=0
​

Answer 1

it is simple, we just need to find out the value of D

$d = b {}^{2} - 4ac$

so here a=2

b=-5

c=-1

so, d=

$( - 5) ^{2} - 4(2)( - 1)$

d= 25 - (-8)

d = 25+8

d= 33

since d is greater than zero it means the roots are

$real \: and \: distinct$