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
Morgarella [4.7K]
4 years ago
15

Solve the equation by completing the square. x^2 -2x = 15

Mathematics
1 answer:
dlinn [17]4 years ago
5 0

Answer:

x = -3  or  x = 5

Step-by-step explanation:

Solve:   x^2 -2x = 15

x^2  - 2x  - 15 = 0

Use the Diamond method of factoring

-15 = 3* -5  and  3 - 5 = -2  so...

x^2  - 2x  - 15 = x^2 -  5x  + 3x  -  15

x^2  - 2x  - 15 = x *(x - 5)  + 3*(x - 5)

x^2  - 2x  - 15 = (x  + 3)*(x - 5)

x^2  - 2x  - 15 = (x  + 3)*(x - 5)  = 0

solve  (x + 3 ) = 0  and  (x - 5) = 0

x = -3  or  x = 5

You might be interested in
Which of the following are properties of right triangles?
sineoko [7]
The properties that apply true are:

1–as it implies the Pythagorean theorem; a^2+b^2=c^2

3–as it implies the basic rules of visualized geometry.

4–as the greater side(hypotenuse) is opposite the right angle.

NOT 2, as the accrue angles ARE complimentary.
4 0
3 years ago
A person can pay $33 for a membership to the history museum and then go to the museum
Lemur [1.5K]

Answer:

42$

Step-by-step explanation:

The person pays 33$ for a membership,and then visits the museum 9 times.So 33+(9*1)=42

4 0
3 years ago
Read 2 more answers
Given two angles that measure 50 degrees and 90 degrees and a side that measures 4 feet​
kupik [55]

What is the question? Please specific!

7 0
3 years ago
Read 2 more answers
F(x) = x2 + 9, g(x) = *square root of* x + 8, <br><br> find g(f(x))
ICE Princess25 [194]

Answer:

  g(f(x)) = √(x^2 +17)

Step-by-step explanation:

For ...

  f(x) = x^2 +9

  g(x) = √(x +8)

The definition of g(f(x)) is ...

  g(f(x)) = g(x^2 +9) = √((x^2 +9) +8)

  g(f(x)) = √(x^2 +17)

6 0
3 years ago
Linear Programming:
tatuchka [14]
Let the number of large bookcases be x and number of small bookcases be y, then
Maximise P = 80x + 50y;
subkect to:
6x + 2y ≤ 24
x, y ≥ 2

The corner points are (2, 2), (2, 6), (3.333, 2)
For (2, 2): P = 80(2) + 50(2) = 160 + 100 = 260
For (2, 6): P = 80(2) + 50(6) = 160 + 300 = 460
For (3.333, 2): P = 80(3.333) + 50(2) = 266.67 + 100 = 366.67

Therefore, for maximum profit, he should produce 2 large bookcases and 6 small bookcases.
7 0
3 years ago
Other questions:
  • The area of a square is 400 square feet, find the perimeter.
    14·1 answer
  • A slice is made parallel to the base of a right rectangular pyramid, as shown.
    10·1 answer
  • If one pair of adjacent sides of a parallelogram is congruent, then the parallelogram must be a __________.
    13·1 answer
  • Amanda is at a store for apples and bananas. if she buys 6 apples and 5 bananas, it will cost $8.00. is she buys 5 apples and 7
    6·1 answer
  • Calculate the size of angle x. the sides are 8cm, 11cm and 15cm
    15·2 answers
  • TIME REMAINING
    12·2 answers
  • Hey yall i need help with this 123456 x 98765 any help will be great thank you
    7·2 answers
  • What are 3 ratios that are equivalent to 8 :5
    14·1 answer
  • Can someone please help me
    13·1 answer
  • HELP ME: Lee works at a job where her pay varies directly with the number of hours she works. Her pay for 6.5 hours is $49.40. W
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!