Question

if possible find the roots of equation
${x}^{2} + 4x + 5 = 0$
by quadratic equation
​

Answer 1

$\: \: \: \: \: \: \: \: \: \: \: {x}^{2} + 4x + 5 = 0$

Here, a = 1,b = 4 and c = 5

$\: \: \: \: \: \: \: \: \: \: \: \: \: D \: = {b}^{2} - 4ac$

$\: \: \: \: \: \: \: \: \: \: \: \: \: D = {4}^{2} - 4(1)(5)$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: D =1 6 - 20$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{D = - 4}}$

$as \: \boxed{D < 0 }\: so \: no \: real \: roots \: exist.$

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