Question

show that 2x+root 5x+1=0 has no real roots​

Answer 1

$2x + \sqrt{5x} + 1 = 0 \\ comparing \: with \: a {x}^{2} + bx + c = 0 \\ a = 2 \: \: \: \: b = \sqrt{5} \: \: \: \: c = 1 \\ {b}^{2} - 4ac = { \sqrt{5} }^{2} - 4 \times 2 \times 1 \\ = 5 - 8 = - 3 \\ {b}^{2} - 4ac > 0 \\ hence \: it \: has \: no \: real \: roots$

Answer 2

Step-by-step explanation:

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