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
vagabundo [1.1K]
3 years ago
10

X² – 4x – 12=0 solve by completing the square

Mathematics
1 answer:
Juliette [100K]3 years ago
4 0

Answer:

x = -2 0r x = 6

Step-by-step explanation:

from the question

X² – 4x – 12=0

solve by completing the square method

we have;

X² – 4x – 12=0

X² – 4x = 12

to make the left hand side a perfect square we add 4 to both sides.

X² -4x  + 4 = 12 + 4

X² -4x  + 4 = 16

from left hand side X² -4x  + 4

= (x -2) × ( x -2)

it can be simply expressed as

( x-2)²

so since X² -4x  + 4  has been simplified to be ( x-2)²

then,

( x-2)² = 16

x - 2 = √ 16

since square root has  two values it can either be positive or negative

so we have

x = 2 + √16

or

x = 2 - √16

therefore

x = 2 + √16

x = 2 + 4

x = 6

0r

x = 2 - 4

x = -2

You might be interested in
What is 23/6 as a mixed number
ludmilkaskok [199]
The answer is 3 and 5/6 because 6 goes into 23 3 times with 5 left over. then you put the five over the denominator 6. make sense dear?
7 0
2 years ago
Read 2 more answers
What is 2+2?<br><br><br> i'm giving you points you should be thanking me
Nitella [24]

Answer:

2+2=4

Step-by-step explanation:

Thanks ig

7 0
2 years ago
Read 2 more answers
Please show your work so I can understand the equation also I’m doing 30 since this is a bit difficult :)
irinina [24]

Answer:

No Jeremy can not find the cost of the sneakers by adding the percents, you have to the math one sale discount at a time. The answer is $45.90. Step-by-step explanation: You have to multiply $60 by 15%, getting $9.

Step-by-step explanation:

4 0
3 years ago
Smith went to the supermarket and bought 4 pounds of raspberries at half their original price, and 8 pounds of watermelon. The p
olga_2 [115]
He spent $2.35 at the store. Hope it helps! :D
6 0
2 years ago
What is true of all multiples of 6? A. All multiples of 6 have 2 and 3 as factors. B. All multiples of 6 have 12 as a factor. C.
juin [17]

Answer:

A

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • The fifth graders are planning a pizza party. Each fifth grader will eat two slices of pizza with a favorite topping. Each fifth
    11·1 answer
  • Please match the answer to the question.
    13·2 answers
  • If f(x) and it's inverse function, f^1(x) are both plotted on the same coordinates plane what is their point of intersection
    11·2 answers
  • Sarah goes to her local pizza parlor and orders a pizza. She can choose either a large or a medium pizza, has a choice of one of
    8·2 answers
  • Evaluate -a+(-b)−a+(−b)minus, a, plus, left parenthesis, minus, b, right parenthesis where a = 6.05a=6.05a, equals, 6, point, 05
    14·2 answers
  • 4(f+3)=62 whats the value of f
    9·1 answer
  • 2(-15) + 22 - 55 show work
    11·1 answer
  • Help with this question plz
    9·1 answer
  • Is it more difficult to walk up the ramp or the hill? Show all steps and explain.
    14·2 answers
  • If using the method of completing the square to solve the quadratic equation x^2 - 9x - 8 = 0, which number would have to be add
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!