What substitution should be used to rewrite x8 – 3x4 + 2 = 0 as a quadratic equation?

The substitution is

Step-by-step explanation:

We have the 8th degree polynomial equation

To rewrite the equation as a quadratic function, take the common factor of the term x with the smallest exponent, in this case it is .

Now make a change of variable

.

So rewriting the equation in terms of u, we have:

Now the initial equation became a quadratic equation

Factoring is left:

and

and

substitution should be p =  x⁴

Step-by-step explanation:

It is given that,

x⁸ -  3x⁴ + 2 = 0

we can rewrite the equation,

(x⁴)² - 3x⁴ + 2 =0

To find the substitution

Here we can see that x⁴ is common in two terms of the given equation

we can substitute p instead of x⁴, the equation becomes,

p² - 3p +2 = 0

Therefore substitution should be used to rewrite x8 – 3x4 + 2 = 0 as a quadratic equation is p =  x⁴

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.

answer: options

step-by-step explanation: