Question

find the real or imaginary solutions by factoring
x^4-10x^2+9=0

Answer 1

\(\large x^4-10x^2+9=0\implies
\begin{array}{cccllll}
{\color{red}{ (x^2)}}^4&-10{\color{red}{ (x^2)}}&+9=0\\
&\uparrow &\uparrow \\
&-9-1&-9\cdot -1
\end{array}\)

Answer 2

woops darn.. more typos =)

Answer 3

\(\large x^4-10x^2+9=0\implies
\begin{array}{cccllll}
{\color{red}{ (x^2)}}^2&-10{\color{red}{ (x^2)}}&+9=0\\
&\uparrow &\uparrow \\
&-9-1&-9\cdot -1
\end{array}\)

Answer 4

they exactly the same

Answer 5

oh wait nvm

Answer 6

but i just dont get like what you would do from there because i wasnt there the day the notes were taken and i just need something down on my paper for tomorrow

Answer 7

there's an assumption you know how to factor a quadratic, thus

Answer 8

yes

Answer 9

then those factors should factor it out :)

Answer 10

then just solve for "x", is a quartic, thus you'd get 4 values for "x"