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
Liula [17]
2 years ago
8

X^2-x-2=0 as a complete square

Mathematics
1 answer:
laila [671]2 years ago
3 0

Answer:

x_1=2; x_2=-1

Step-by-step explanation:

The square term is x^2 so we expect the complete square to be of the form (x-a) ^2=x^2+2ax+a^2.

Let's compare the first degree terms now: we have 2ax on one side and -1x on the other. That would make a=- \frac12. At this point we have still the second squared term, so we add and subtract \frac14 = (\frac12)^2

Our equation becomes:

x^2-x+\frac14 -\frac14-2 =0\\(x-\frac12)^2-\frac94=0

(the \frac94 term comes from rewriting 2= \frac84 and adding the terms out of the bracket).

At this point it's just solving the equation:

(x-\frac12)^2 = \frac94 \rightarrow x-\frac12=\pm\frac32\\x=\frac12\pm\frac32\\x_1=\frac42 = 2; x_2=\fra-\frac22=-1

You might be interested in
Plz help ASAPPPPP :(<br><br> No Links Or Files
gayaneshka [121]

Answer:

the anwser is H

Step-by-step explanation:

  1. frist x^2=16 it means the radical of 16 is x

the radical of 16 is《 4》

♧x^3 it means 4^3=64

the radical of 4 is 2

  1. then 64+2=66
5 0
2 years ago
What will happen to the mean of the data below if the outlier, 57, is added? 23,28, 27, 25,25,22,25 A.The mean will not change B
Anvisha [2.4K]
Answer is c (there is not a enough info given)
3 0
3 years ago
How many different values can an algebraic expression like 5+(x+2)
elena-14-01-66 [18.8K]

wb. lnehiu gliaghjnkmnafvgsbhdnjfnmydabgshdnjmfkg

5 0
3 years ago
Number lines for 43.586 to the nearest tenths, hundredths , ones
kvasek [131]
Tenths 43.5
hundredths 43.60
ones 44
4 0
3 years ago
Tom walks 2.12 km to the park he then walks a further 670 to the shop how many km has Tom walked in total
Mkey [24]

Answer:

672.12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Need to finish this today ....
    7·2 answers
  • How to solve for x 2+9x^2=6
    13·1 answer
  • Name the triangles that are classified by angles
    10·2 answers
  • jorge takes his friends out for smoothies. he buys 5 smoothies and leaves a $3 tip, paying a total of $23.he wants to know the p
    14·1 answer
  • Line v has a slope of –8/7. Line W is perpendicular to V. What is the slope of line w?
    14·1 answer
  • The movie screen at the cinema is 70 feet long and 30 feet wide. What is the perimeter of the screen? A 200 feet B 140 feet © 60
    12·1 answer
  • Maxine wants a necklace 49 beads long.<br><br> She needs __ blue beads and __ black beads.
    8·1 answer
  • Determine the y intercept for the linear function 3x - 4y = 24. Show all work for credit.
    9·2 answers
  • What is 2/3 divided by 2
    6·1 answer
  • Simplify. -x^2 - 3xy + 6y + 2x^2 - 8 + 5xy - x^2 + 14 A x^2 + 8xy + 6y + 6 B 8xy + 6y + 6 C -x^2 + 2xy + 6y + 22 D 2xy + 6y + 6
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!