Question

9x to the 4th power minus 37x squared plus 4=0
please help

Answer 1

\[9x^4-37x^2+4=0\]?

Answer 2

yup!

Answer 3

ok trick is to put
\[z=x^2\] and rewrite as
\[9z^2-37z+4=0\] which by some miracle factors as
\[(9z-1)(z-4)=0\] so
\[z=\frac{1}{9}\] or
\[z=4\]

Answer 4

then go back and put
\[z^2=\frac{1}{9}\] so
\[x=\pm\frac{1}{3}\] or
\[x^2=4\] so
\[x=\pm 2\] and those are your 4 answers.

Answer 5

yup!

Answer 6

Amazing thank you very much !