Answer: [tex]m^2 - 13m + 38 = 0[/tex]
Step-by-step explanation:
[tex]m = x^2\\(x^2-5)^2-3x^2+15=-2.[/tex]
We can go simplify the equation by simplifying the first polynomial:
[tex](x^2-5)^2 = x^4 - 10x^2+25[/tex]
Then, we can substitute that in the original equation:
[tex]x^4 - 13x^2 + 38 = 0[/tex]
Now, we can substitute m for every x^2.
Knowing that x^4 = x^2 * x^2, we can write this as m^2:
[tex]m^2 - 13m + 38 = 0[/tex]
