1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Diano4ka-milaya [45]
2 years ago
9

What substitution should be used to rewrite 4x^12-5x^6-14=0 as a quadratic equation?

Mathematics
2 answers:
faust18 [17]2 years ago
7 0

Answer:

K = x⁶ will be the substitution.

Step-by-step explanation:

The given equation is 4x^{12}-5x^{6}-14=0

Now we have to convert it in a quadratic equation which should be in the form of ax^{2} +bx+c=0

We can rewrite the equation as

4(x⁶)² - 5(x⁶) - 14 = 0

Now we are clear that we have to substitute x⁶ = k to convert the equation in a quadratic equation

4K² - 5K - 14 = 0

Therefore, K = x⁶ will be the substitution.

GarryVolchara [31]2 years ago
3 0

let m = x^6

4m^2 -5m -14 =0

You might be interested in
What are the roots of f(x) = x2 – 48? –48 and 48 –24 and 24 Negative 8 StartRoot 3 EndRoot and 8 StartRoot 3 EndRoot Negative 4
Ivanshal [37]

Answer:

x=4\sqrt{3},\:x=-4\sqrt{3} are the roots.

Step-by-step explanation:

x=4\sqrt{3},\:x=-4\sqrt{3}

Considering the expression

x^2\:-\:48

Solving

x^2-48=0

x^2-48+48=0+48

x^2=48

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

x=\sqrt{48},\:x=-\sqrt{48}

Solving

x=\sqrt{48}

  = \sqrt{2^4\cdot \:3}

  \mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}

  = \sqrt{3}\sqrt{2^4}

  \mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^m}=a^{\frac{m}{n}}

  \sqrt{2^4}=2^{\frac{4}{2}}=2^2

  =2^2\sqrt{3}

  =4\sqrt{3}

So,

x=4\sqrt{3}

Similarly,

x=-\sqrt{48}=-4\sqrt{3}

Therefore, x=4\sqrt{3},\:x=-4\sqrt{3} are the roots.

Keywords: roots, expression

Learn more about roots from brainly.com/question/3731376

#learnwithBrainly

9 0
2 years ago
Read 2 more answers
If elephant grass grows 3 1/2 inches a day, how many inches will it grow in 7 days?
vichka [17]

Answer:

the answer is 24 1/2

Step-by-step explanation:

because 3 1/2 times 7 = 24 1/2

CAN I GET BRAINLIEST PLZ


8 0
2 years ago
Read 2 more answers
What is the first five nonzero multiples of 3 and 10
Masja [62]
Every multiples of 10s has a zero... you do know that... right?
5 0
3 years ago
Calculate the distance between the points C = (0,-2) and L= (-4, 1) in the coordinate plane. Give an exact answer. (not a decima
schepotkina [342]

Answer: 5

Step-by-step explanation:

\sqrt{(-4-0)^2 + (1-(-2))^2}=5

7 0
2 years ago
Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey’s mom pays Natalie $11 per hour plus a $6 tip.
nevsk [136]

Answer:

3

Step by Step:

Subtract the tip ($6) from the total ($39)

11x=33

Then divide 33 by 11, leaving you with the value of x.

x=3

The lesson was 3 hours long.

6 0
2 years ago
Other questions:
  • Complete the conditional statement. If 2 > -a, then _____.
    9·1 answer
  • Which of the following shows 9x2y - 4x + 3y3x - 2y2 written in standard form?
    15·2 answers
  • From a group of 8 people 5 will each win $1,000 how many different winning groups are possible
    12·1 answer
  • The formula Upper A equals 23.1 e Superscript 0.0152 tA=23.1e0.0152t models the population of a US​ state, A, in​ millions, t ye
    12·1 answer
  • X diminished by the sum of 3x and 12. <br> 2) your elevation is -34ft how is this as a statement?
    10·1 answer
  • A test for the presence of a certain disease has probability 0.2 of giving a false-positive result (indicating that an individua
    8·1 answer
  • Solve for r , what is r equal to ?
    9·1 answer
  • Simplify: 5d + 3 + 2h + 1 + 3h + 2d
    14·2 answers
  • The scale drawing of a rectangular city park measures 10.0 cm by 5.0 cm. The scale of the drawing is 1.0 cm = 4.5 m. What is the
    6·1 answer
  • Combine like terms. y + 5e + 3y
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!