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
garri49 [273]
2 years ago
14

x^2-8x+15=0 solve the equation by completing the square. Round your solutions to the nearest hundredth, if necessary.

Mathematics
1 answer:
zaharov [31]2 years ago
7 0

Answer:

x = 3, 5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients/Degrees
  • Standard Form: ax² + bx + c = 0
  • Multiple Roots
  • Factoring
  • Completing the Square: -b/(2a)

Step-by-step explanation:

<u>Step 1: Define</u>

x² - 8x + 15 = 0

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Subtraction Property of Equality] Subtract 15 on both sides:                     x² - 8x = -15
  2. Complete the Square [Addition Property of Equality]:                                 x² - 8x + 16 = -15 + 16
  3. [Complete the Square] Simplify:                                                                   (x - 4)² = 1
  4. [Equality Property] Square root both sides:                                                  x - 4 = ±1
  5. [Addition Property of Equality] Add 4 on both sides:                                   x = 4 ± 1
  6. Evaluate:                                                                                                          x = 3, 5
You might be interested in
Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 3x - 5
irina1246 [14]

ans is b...multiply eqn 1 by -2 and eqn 2 by 3

=》 -6x + 10y = 4...eqn 3

=》 6x + 3y = 9...eqn 4

add eqn 3 and 4...

=》13y = 13

=》y =1 and x = 1

5 0
3 years ago
Need help must bring back to my school August 8
ivolga24 [154]

2: 4 is a factor and multiple of 8. 8 and 4 is also even numbers so is is most likely to be divisible by any number

4 0
3 years ago
Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 a
Nata [24]

Answer:

Let x represents the week and y represents the amount of money.

As per the given statement:

Diego has $11 and begins $5 each week toward buying a new phone.

⇒               ......[1]

It is also given that Lin $60 and begins spending $2 per week.

⇒               ....[2]

when they have the same amount.

equate [1] and [2] we get;

Add both sides 2x we get;

Subtract 11 from both sides we get;

Divide both sides by 7 we get;

x = 7

Substitute the value of x = 7 in [1] we have;

Therefore, at x= 7 week they have the same amount of money and they  have the amount at that time, $ 46

Step-by-step explanation:

6 0
3 years ago
Given that GK is a perpendicular bisector to JH which two triangles are congruent by the HL theorem
Digiron [165]
JGK is congruent to HGK
3 0
3 years ago
If 5x-26=x+50, then the value of x is
horsena [70]
Let's work this problem out!

First: 5(x) - 26 - x + 50 = ? 

Second: 4(x) - 76 = ? 

Third: 4 = ? 
          ↑
(Solve Step 3) 

Fourth: x - 19 = 0 
                   ↑
(Add the number 19 to each of your sides for Step 4)

Finally we get to your answer

19 + 0 = 19 ; 19 - 19 = 0

So, therefore the value of "x" is 19 

x = 19
3 0
3 years ago
Other questions:
  • Item 3
    7·1 answer
  • What is the surface area formula for this shape and if you could explain that would help me a lot ​
    9·2 answers
  • Laura has 45 buttons. She gives away b buttons. Write an expression that shows the number of buttons Laura has left.
    9·2 answers
  • What is an equation of the line that passes through the points (4, -1) and
    7·1 answer
  • What is the GCF of 6 and 18
    15·2 answers
  • a bag contains 10 black tiles and 10 white tiles. caden will randomly select on tile from the bag. what’s the probability caden
    8·1 answer
  • How do I rewrite Thea numbers so they are no longer in scientific notation?
    11·1 answer
  • You LOVE Cheetos and Takis. They’re your favorite food of all time and you feel like you could live on eating nothing but Cheeto
    15·1 answer
  • Benito has 2 pounds of ground turkey. He needs 1/4 pund to make 1 turkey burger. How many turkey burger can benito make
    14·1 answer
  • Can you help with this one it is hard​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!