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
liubo4ka [24]
3 years ago
8

Solve x2 - 4x - 7 = 0 by completing the square. What are the solutions?

Mathematics
1 answer:
Roman55 [17]3 years ago
5 0

Answer:

x= 2 + √11 or x = 2 −√11

Step-by-step explanation:

I am going to complete the square step-by-step.

x² − 4x − 7=0

Step 1: Add 7 to both sides.

x² − 4x − 7+ 7 = 0 + 7

x² − 4x = 7

Step 2: The coefficient of -4x is -4. Let b = -4.

Then we need to add (b/2)² = 4 to both sides to complete the square.

Add 4 to both sides.

x² − 4x + 4 = 7 + 4

x² − 4x + 4 = 11

Step 3: Factor left side.

(x−2)² = 11

Step 4: Take square root.

x − 2 = ±√11

Step 5: Add 2 to both sides.

x − 2 + 2 = 2 ±√11

x = 2 ±√11

x= 2 + √11 or x = 2 −√11

You might be interested in
A car is driving down I-55 approaching the exit for two cities: Angleton and Bisectorville. Both towns are 3.14 miles to I-55 an
Shtirlitz [24]

Answer:

3.14 mile-55=51.86 miles from the car and exit

i think i help.(sorry if it is not correct)

Step-by-step explanation:

7 0
3 years ago
Y is greater than or equal to 3and less than 7
In-s [12.5K]

Answer:

7 > y ≥ 3

Step-by-step explanation:

5 0
3 years ago
Mary is 5 feet tall and Alice is 1.6 meters tall. Who is taller? By how many inches?
8090 [49]

Answer:

Alice

Step-by-step explanation:

5 feet is approximately 1.5 meters so we can say Alice is taller than Mary by 10cm

6 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
SashulF [63]

Answer:

I think it's C

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the distance between the points 5 , 3 and -6 , 3 .
just olya [345]
(5, 3) (-6, 3)
The slope is 0 Slope = m = (Y2<span> -Y</span>1<span>) </span>÷<span> (X</span>2<span> -X</span>1<span>) (Y2 -Y1)=0
SO, the distance is just the difference in the x values.
distance = 5 --6 = 11

</span>
7 0
3 years ago
Other questions:
  • A square board has an area of 100 square feet. What is the length of one side of the board? (MCC.8.EE.2) A. 100 ft b) 50 ft c) 2
    13·1 answer
  • He center of a circle represented by the equation (x + 9)2 + (y − 6)2 = 102 is
    7·2 answers
  • What conclusion can you make from the information below?
    8·1 answer
  • What is the area of the hexagon below?<br><br><br><br> 12 m2<br> 18 in2<br> 24 in2<br> 48 in2
    11·1 answer
  • Let f(x) = 5x3 + 3x2 – 3 and g(x) = x2 + X - 5, fin<br> 4) f(x) + g(x)
    12·1 answer
  • What is the value of the expression below when b = 4 and c=5?
    11·1 answer
  • How much Interest(in dollars) is earned by Investing $2200 at a simple interest rate of 8% for 12 years? Write the correct answe
    11·1 answer
  • A department store sells a pair of shoes with an 87% markup. If the store sells the shoes for 193.21 what is the non-markup pric
    11·1 answer
  • The figure shows Triangle ABC and some of its transformed images on a coordinate grid:
    9·2 answers
  • Rewrite in standard form, then factor completely. <br> 294-6x^2
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!