Question

6. Find the nature of the roots of quadratic equation 2x²-√5x+1=0​

Answer 1

Answer:

imaginary

Step-by-step explanation:

${b}^{2} - 4ac = {( - \sqrt{5} )}^{2} - 4 \times 2 \times 1 = 5 - 8 = - 3 < 0$

hence, the roots will be imaginary

if it was greater than or equal to zero then they would have been real

Answer 2

Answer:

The given equation has no real roots

Step-by-step explanation:

To find the nature of roots, we see what is the answer for b²-4ac for the equation.

Here, b= -√5, a=2, c=1

Then, b²-4ac = (-√5)² - 4(2)(1)

= 5-8

= -3

Here, b²-4ac < 0

Therefore, it has no real roots.

HOPE IT HELPS