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Mathematics 28 Online
OpenStudy (anonymous):

x² + 16 = 0 Solve.

OpenStudy (lgbasallote):

subtract 16 from both sides..what do you get?

OpenStudy (anonymous):

x² = -16

OpenStudy (lgbasallote):

right. now take the square root of both sides

OpenStudy (anonymous):

answer is fake, I mean imaginary

OpenStudy (anonymous):

yeah so its i?

OpenStudy (lgbasallote):

close. i is just square root of -1

OpenStudy (anonymous):

hmm..

OpenStudy (lgbasallote):

\[\sqrt{-16} \implies i \times \sqrt {16}\] got it?

OpenStudy (anonymous):

no im still not understanding

OpenStudy (lgbasallote):

i assume you know what the square root of 16 is?

OpenStudy (anonymous):

\[\sqrt{-1}*\sqrt{-16}\]

OpenStudy (anonymous):

4

OpenStudy (anonymous):

i x 4?

OpenStudy (lgbasallote):

nope..remember a square is positive and negative so square root of 16 is \(\pm\) 4

OpenStudy (lgbasallote):

so \[\sqrt{-16} \implies i \times \pm 4 \implies \pm 4i\] got it now?

OpenStudy (anonymous):

ohhh yeah

OpenStudy (anonymous):

thanx

OpenStudy (lgbasallote):

welcome

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