Question

The quadratic equation 2x^2 – √5x + 1 = 0 has (A) two distinct real roots (B) two equal real roots (C) no real roots (D) more than 2 real roots

Answer 1

X= (√5 +/- √5-4(2)(1))/2(2)
therefore x= (√5 +/- i√3)/4
it has no real roots

Answer 2

Answer: C) is the correct option  

Step-by-step explanation:

We have a quadratic equation: $2x^2 - \sqrt{5} x +1$

If we have standard equation $ax^2 + bx+ c =0$ then $D= b^2 -4ac$

a= 2, b= -√5, c= 1

$D= (-\sqrt{5} )^2 - 4\times 2\times 1 \\\\D= 5-8\\\\ D= -3$

As the value of D<0 so there is no real root

Hence C) is the correct option . There is no real root .