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
saveliy_v [14]
3 years ago
14

What value should be added to the expression to create a perfect square? x^2 - 20x

Mathematics
1 answer:
boyakko [2]3 years ago
4 0
To complete the square:
we take the coefficient ox "x" (which in this problem is -20)
we divide it by 2
square that number
then add it to both sides of the equation

-20 / 2 = -10
-10^2 = 100
then we add 100 to both sides of the equation:
x^2 -20x
x^2 -20x +100 = 100
******************************************************
To get the roots of the equation, we take the square root of both sides:
(x -10) * (x-10) = 10
(x-10) = square root (10)
x-10 = <span> <span> <span> 3.1622776602 </span> </span> </span>
x1 = <span> <span> <span> 13.1622776602 </span>
and don't forget that square root of 10 also equals  </span></span><span><span><span> -3.1622776602 </span> </span> </span>
x2 = 10 -<span> <span> <span> 3.1622776602
x2 = </span></span></span> <span> <span> <span> 6.8377223398 </span> </span> </span>


You might be interested in
a right triangle is removed from a rectangle to create the shaded region shown below. find the area of the shaded region. be sur
ser-zykov [4K]

Answer:

36

Step-by-step explanation:

Objective: Find missing dimensions of the right triangle using the then subtract that area of the triangle from the rectangle's area.

Using the definition of a rectangle, the left vertical side measure is 7 and right vertical side is 6. So the missing legs of the triangle is 4 and 3.

Apply triangle formula, base x height divided by 2.

\frac{4 \times 3}{2}  = 6

Area of rectangle is length x width so the area is

7 \times 6 = 42

Subtract 6 from 42.

42 - 6 = 36

3 0
3 years ago
A carpect salesperson claims that a carpet on sid for $12.95 per square yard is 30% off its original price. What was its origina
Amiraneli [1.4K]
12.95      30
-------- =  ----
 x            100

1295  = 30x
-------    -----
30          30

x = 43.16666667
 
not sure how u want to round
8 0
3 years ago
Read 2 more answers
Subtract 5 from 1/3 of 23
WARRIOR [948]
The answer is 2.8. or around there

5 0
3 years ago
Read 2 more answers
-6x-16 &lt; 2x please help asap! and help me solve it
ICE Princess25 [194]

1. Divide both sides by 2

2. Add 16 to each side

Answer  x > -2

         

3 0
3 years ago
Can someone help me with this question
Ilya [14]
Trinomials simply have 3 terms. The answer is C
8 0
4 years ago
Read 2 more answers
Other questions:
  • The sum of two consecutive odd integers equals 12. What are they?
    15·1 answer
  • 4(x-3)-(2x+5)=-3x-27
    15·2 answers
  • Distributive property of 6×83
    15·2 answers
  • Directions: Read each problem, then solve for the missing part(s).
    10·1 answer
  • Can someone help me?<br><br> 12 1/2 - (-4 1/2) =
    9·1 answer
  • (9b +9) + (4n - 4) + (6d + 2) =<br><br><br> Pleaseee help hurry
    15·2 answers
  • What is the radius of the red circle? What is the radius of the blue circle?
    10·1 answer
  • Plz answer this fast fast I will give brainlist and 12 points​
    15·1 answer
  • NO LINKS OR ASSESSMENT!! Part 2a: State the Domain and Range of each graph in BOTH inequality and interval notation​
    15·1 answer
  • What is the solution to x + 7 = 22?<br> A. x = 14<br> B. x= 7<br> © C. x= 15<br> D. x= 29
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!