find all real solutions

Hello, yasaminG!

I assume that it's supposed to be an <u>equation</u>.

how do i do this? \(\displaystyle \;\;x^2(x^2\,-\,7)\,+\,12\)
We have: \(\displaystyle \;x^4\,-\,7x^2\,+12\;=\;0\)

Factor: \(\displaystyle \;(x^2\,-\,4)(x^2\,-\,3)\;=\;0\)

Then: \(\displaystyle \;x^2\,-4\:=\:0\;\;\Rightarrow\;\;x^2\,=\,4\;\;\Rightarrow\;\;x\,=\,\pm2\)

And: \(\displaystyle \;x^2\,-\,3\:=\:0\;\;\Rightarrow\;\;x^2\,=\,3\;\;\Rightarrow\;\;x\,=\,\pm\sqrt{3}\)
 
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