what substitution should be used to rewrite $x^{8}-3x^{4}+2 = 0$ as a quadratic equation?\n$u = x^{2}$\n$u =…
what substitution should be used to rewrite $x^{8}-3x^{4}+2 = 0$ as a quadratic equation?\n$u = x^{2}$\n$u = x^{4}$\n$u = x^{8}$\n$u = x^{16}$
Answer
Answer:
B. $u = x^{4}$
Explanation:
Step1: Analyze the exponents
We have the equation $x^{8}-3x^{4}+2 = 0$. Note that $x^{8}=(x^{4})^{2}$.
Step2: Make the substitution
Let $u = x^{4}$. Then the equation becomes $u^{2}-3u + 2=0$, which is a quadratic equation.