Question

What substitution should be used to rewrite x8 â€"" 3x4 2 = 0 as a quadratic equation? u = x2 u = x4 u = x8 u = x16.

Answer 1

The degree of a quadratic equation is always 2

The substitution that rewrites $x^8 - 3x^4 +2 = 0$ as a quadratic equation is $u = x^4$

The equation is given as:

$x^8 - 3x^4 +2 = 0$

Express 8 as 4 * 2

$x^{4 \times 2} - 3x^4 +2 = 0$

Rewrite the equation as:

$(x^{4})^2 - 3x^4 +2 = 0$

Represent x^4 with u.

So, the equation becomes

$u^2 - 3u +2 = 0$

Notice that the above equation has a degree of 2.

Hence, the substitution is $u = x^4$

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Answer 2

Answer:

B. u = x4

Step-by-step explanation: