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
ehidna [41]
3 years ago
14

Hi i need help asap my parent taught me how to do this equation (x^2-4x)^2+7x^2-28x+12=0 but i still dont understand I really ne

ed help understanding this i know the answer i just need an explanation please help me
Mathematics
1 answer:
artcher [175]3 years ago
6 0

Answer:

x = 1,  x = 2,  x = 3

Step-by-step explanation:

Hello, please consider the following.

(x^2-4x)^2+7x^2-28x+12=0 \\\\(x(x-4))^2+7x(x-4)+12=0\\\\\text{Let's note }X = x(x-4)\text{ the equation becomes}\\\\X^2+7X+12=0\\\\\text{The sum of the zeroes is -7=-3+(-4) and the product is 12=(-4)*(-3).}\\\\\text{Wo we can factorise.}\\\\X^2+7X+12=X^2+4X+3X+12=X(X+4)+3(X+4)=(X+4)(X+3)=0\\\\X=-4 \ \ or \ \ X=-3

So we need to solve:

x(x-4)=-4 \ \ or \ \ x(x-4)=-3\\\\ x^2-4x-4=(x-2)^2=0 \ \ or \ \ x^2-4x+3=(x-1)(x-3)=0

So, the solutions are x = 2, x = 1, x = 3

Thank you

You might be interested in
Find the surface area of the right triangle prism(above) using the net (below)
kifflom [539]

Answer:

144

Step-by-step explanation:

2( 1/2 × 3 × 4 ) + ( 11 × 5) + ( 11 × 4 ) + ( 11 × 3)

= 12 + 55 + 44 + 33

= 144

7 0
2 years ago
What is 5(m+4)=-2(-4-m)+5 Please help!!!!
babymother [125]

Answer:

m=−7/3

Step-by-step explanation:

Keep up the good work

6 0
3 years ago
Read 2 more answers
Find the value of the variable if P is between J & K.
Mama L [17]

Answer:

D

Step-by-step explanation:

well you see I just guessed :D

5 0
3 years ago
-0.2x-5/6 i need help
Mekhanik [1.2K]

Answer:

C

Step-by-step explanation:

I think I'm not for sure

5 0
3 years ago
A box has dimensions of 17 in Long 1.3 ft wide and 8 inches high what is the volume of the Box the formula for the volume is V=
algol13
17*1.3*8 = 176.8in.^3
Volume=176.8in.^3
6 0
3 years ago
Read 2 more answers
Other questions:
  • Help solve for a????
    14·2 answers
  • Explain how u can use estimation to check that ur answer is reasonable
    14·1 answer
  • somebody plz help me (the question i need help with is the one that is circled in pink and has the number 4)
    12·1 answer
  • Which set of numbers below is in the correct order from least to greatest?
    7·2 answers
  • Which plane figure generates a cylinder when it rotates about the dashed line?
    13·1 answer
  • finn the frog Brought a radio to the birthday party that was 9 inches tall, 8 inches long and 7 inches wide. What is the surface
    11·1 answer
  • What is 3x10 to the 3rd power
    14·2 answers
  • PLEASE HELP
    5·1 answer
  • What is e+3/8=2 answer
    15·1 answer
  • UNIT 2 lesson 12 polygons and quadrilaterals unit test part one!!!!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!