Write 6(x - 5)^4+ 4(x - 5)^2 + 6 = 0 in the form of a quadratic by using substitution

Mathematics

1 answer:

Juliette [100K]3 years ago

5 0

Answer:

3m^2+2m+3=0

Step-by-step explanation:

6(x - 5)^4+ 4(x - 5)^2 + 6 = 0

(x-5)^2= m

6m^2+4m+6=0

3m^2+2m+3=0

You might be interested in

Can you help me solve y=-3x-2 (-7x-6y=-10

navik [9.2K]

$y=-3x-2\\-7x-6y=-10\\\\
-7x-6(-3x-2)=-10\\
-7x+18x+12=-10\\
11x=-22\\
x=-2\\\\y=-3\cdot(-2)-2\\y=6-2\\y=4$

5 0

2 years ago

PLEASE ANSWER + BRAINLIEST!! Factor completely. 4k - 20k^9 = 3b^2 - 108 =

Neporo4naja [7]

$4k-20k^9=4k(1-5k^8)=4k\left[1^2-(k^4\sqrt5)^2\right]\\\\=4k(1-k^4\sqrt5)(1+k^4\sqrt5)=4k\left[1^2-(k^2\sqrt[4]5)^2\right](1+k^4\sqrt5)\\\\=4k(1-k^2\sqrt[4]5)(1+k^2\sqrt[4]5)(1+k^4\sqrt5)\\\\=4k\left[1^2-(k\sqrt[8]5)^2\right](1+k^2\sqrt[4]5)(1+k^4\sqrt5)\\\\=4k(1-k\sqrt[8]5)(1+k\sqrt[8]5)(1+k^2\sqrt[4]5)(1+k^4\sqrt5)$

$3b^2-108=3(b^2-36)=3(b^2-6^2)=3(b-6)(b+6)$

$Used:\ (a-b)(a+b)=a^2-b^2$

7 0

3 years ago

5. A hockey player whose initial speed is 8.1 m/s increases his speed to 8.6 m/s in order to get to

balu736 [363]

Answer:

0.1m/s²

Step-by-step explanation:

the explanation is in the picture

please rate and mark as brainliest

5 0

2 years ago

A pharmacist has an 18% alcohol solution and a 40% alcohol solution. How much of each should he mix together to make 10 liters o

TiliK225 [7]

Lets call x the amount of 18% solution and y the amount of 40% solution, and write as equations the info of the problem:
18x + 40y = 10(20)
x + y = 10
lets multiply the second equation by -18 and add to the first:
18x + 40y = 200
-18x - 18y = -180
----------------------
0 + 22y = 20
y = 20/22 = 10/11
and substitute in the original equation:
x + y = 10
x = 10 - y
x = 10 - 10/11
x = 110/11 - 10/11
x = 100/11
so they have to use 100/11 liters of 18% solution and 10/11 liters of 40% solution

3 0

2 years ago

Simplify. <img src="https://tex.z-dn.net/?f=%5Csqrt%7B44%7D" id="TexFormula1" title="\sqrt{44}" alt="\sqrt{44}" align="absm

zvonat [6]

The answer is 6.6
hope this helps :)

3 0

2 years ago