Answer is: 60x=240
240/60=40
The degree of a quadratic equation is always 2
The substitution that rewrites
as a quadratic equation is ![u = x^4](https://tex.z-dn.net/?f=u%20%3D%20x%5E4)
The equation is given as:
![x^8 - 3x^4 +2 = 0](https://tex.z-dn.net/?f=x%5E8%20-%203x%5E4%20%2B2%20%3D%200)
Express 8 as 4 * 2
![x^{4 \times 2} - 3x^4 +2 = 0](https://tex.z-dn.net/?f=x%5E%7B4%20%5Ctimes%202%7D%20-%203x%5E4%20%2B2%20%3D%200)
Rewrite the equation as:
![(x^{4})^2 - 3x^4 +2 = 0](https://tex.z-dn.net/?f=%28x%5E%7B4%7D%29%5E2%20-%203x%5E4%20%2B2%20%3D%200)
Represent x^4 with u.
So, the equation becomes
![u^2 - 3u +2 = 0](https://tex.z-dn.net/?f=u%5E2%20-%203u%20%2B2%20%3D%200)
Notice that the above equation has a degree of 2.
Hence, the substitution is ![u = x^4](https://tex.z-dn.net/?f=u%20%3D%20x%5E4)
Read more about quadratic equation at:
brainly.com/question/17210919
Answer:
x = 7
Step-by-step explanation:
The equation of a vertical line has equation of the form
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (7, - 3) with x- coordinate 7 , thus
x = 7 ← equation of vertical line
Answer:
![2\frac{4}{10}=\frac{24}{10}=\frac{12}{5}](https://tex.z-dn.net/?f=2%5Cfrac%7B4%7D%7B10%7D%3D%5Cfrac%7B24%7D%7B10%7D%3D%5Cfrac%7B12%7D%7B5%7D)
Step-by-step explanation:
Here we have a number in the ones place, 2, and a number in the tenths place, 4.
- Any number in front of the decimal becomes the whole number in front of the mixed number fraction
- The numerator will be any number after the decimal
- The denominator will be the value of the place the number after the decimal is in
Here our whole number is 2, the numerator is 4, and it is in the tenths place, so our denominator will be 10
Our fraction becomes
which then turns into the improper fraction
and then simplifying if needed becomes
after dividing the fraction by 2