Rewrite the expression g^4 + 18g^2 + 24 in the form c(g^2 + p)^2 + q. What is q?
+2 \(c(g^2+p)^2+q\\=c(g^4+2g^2p+p^2)+q\\=cg^4+2cg^2p+p^2c+q\)
Set up system of equation according to corresponding coefficients:
\(c=1\\ 2cp=18\\ p^2c+q=24\\ \)
Substitute first equation to second:
\(2(1)p=18\\p=9\)
Lastly, substitute first and second equation to third equation:
\(9^2(1)+q=24\\q=\boxed{-57}\)
I hope this helps (❁´◡`❁)
ok bye
+2 \(c(g^2+p)^2+q\\=c(g^4+2g^2p+p^2)+q\\=cg^4+2cg^2p+p^2c+q\)
Set up system of equation according to corresponding coefficients:
\(c=1\\ 2cp=18\\ p^2c+q=24\\ \)
Substitute first equation to second:
\(2(1)p=18\\p=9\)
Lastly, substitute first and second equation to third equation:
\(9^2(1)+q=24\\q=\boxed{-57}\)
I hope this helps (❁´◡`❁)
ok bye
