Question

Find nature of root of

2x^2 -5/x +1 =0

Answer 1

Answer:

$\sf\fbox{the \: given \: quadratic \: equation \: is }$

$\sf = {2x - \sqrt{5x} + 1 = 0}$

$\sf{here, \: a = 2 ,b = - \sqrt{5},c = 1} \\ \sf{now, \: d \: = {b}^{2} \: - 4ac } \\ \sf{ = ( - \sqrt{5}) {}^{2} - 4 \times 2 \times 1 } \\ \sf{ = 5 - 8 = 3 < 0}$

Since, the discriminate is negative, The equation has (No real roots)

So, that,y option (C) is correct.