Question

find the nature of the roots 2x2 - √5x + 1 = 0​

Answer 1

$2 {x}^{2} - \sqrt{5} x + 1 \\ \\ d = {b}^{2} - 4ac \\ \\ = {( - \sqrt{5}) }^{2} - 4 \times 2 \times 1 \\ \\ = 5 - 8 \\ \\ = - 3 \\ \\ since \: d < 0 \\ the \: roots \: are \: not \: real$

Answer 2

Answer:

roots are complex and conjugate to each other

Step-by-step explanation:

2x^2-√5x+1

a=2,b=-√5,c=1

D=b^2-4ac

=(-√5)^2-4(2)(1)

=5-8

=(-3)

D<0

therefore roots are complex and conjugate to each other

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