Question

(5x^(2)-6)^(1/4)=x

Answer 1

25x^4th+36(1/4)=x
6 1/4x+9=x
5 1/4x=-9
x=9 divided by 5 1/4

Answer 2

\[(5x^2-6)^{\frac{1}{4}}=x\]
\[(5x^2-6)=x^4\]
\[x^4-5x^2-6=0\]
\[(x^2-6)(x^2+1)=0\]
\[x^2-6=0\]
\[x=\pm\sqrt{6}\]
\[x^2+1=0\] has no real solution

Answer 3

oops i made a mistake hold on

Answer 4

The solution is √2 and √3

Answer 5

\[5x^2-6=x^4\]
\[x^4-5x^2+6=0\]
\[(x^2-2)(x^2-3)=0\]
\[x^2-2=0\]
\[x^2=2\]
\[x=\pm\sqrt{2}\]
\[x^2-3=0\]
\[x^2=3\]
\[x=\pm\sqrt{3}\]

Answer 6

this line
\[x^4-5x^2-6=0\] was a mistake on my part. it should have been
\[x^4-5x^2+6=0\]
sorry about that