Question

how many roots will the equator equation x square + 2x + 4 = 0 have?

Answer 1

Hiii friend,




P(X) => X²+2X +4 = 0

Highest degree of X is 2 . So the given polynomial have two equal roots which are,


X²+2X+4 = 0

X²+2X+2X+4 = 0

X(X+2) +2(X+2) = 0


(X+2) (X+2) = 0


(X+2) = 0 OR (X+2) = 0



X = -2 or X = -2




Hence,


The given polynomial have two equal roots



HOPE IT WILL HELP YOU...... :-)

Answer 2

Solution:-

given by the equetion:-

${x}^{2} + 2x + 4 = 0 \\ by \: the \: formula \\ - {b}^{2} ( + - ) \sqrt{ {b}^{2} - 4ac } \times \frac{1}{2a} \\ - 4( + - ) \sqrt{4 - 4 \times 1 \times 4} \times \frac{1}{2 \times 1} \\ \frac{ - 4( + - ) \sqrt{ - 12} }{2} \\ \frac{ - 4( + - )2 \sqrt{ - 3} }{2} \\ - 2( + - ) \sqrt{ - 3} \\ - 2 + \sqrt{ - 3} \: \: \: and \: \: - 2 - \sqrt{ - 3} \\ the \: roots \: of equetion\\ - 2 - \sqrt{3} \\ - 2 + \sqrt{3}$