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
Lemur [1.5K]
3 years ago
8

How do you complete the square of x^2-14x+33=0?

Mathematics
1 answer:
iVinArrow [24]3 years ago
7 0
X² - 14x + 33 = 0 is in the form ax² + bx + c = 0. We will need this for the second step.

Subtract 33 from both sides
x² - 14x = - 33

Divide the b term by 2 and then square the result. Then add that to both sides.
- 14 / 2 is - 7. (- 7)² = 49. Add that to both sides

x² - 14x + 49 = - 33 + 49

Combine the constants and factor the trinomial
(x - 7)² = 16

Square root both sides
x - 7 = +/- 4
or
x - 7 = - 4 and x - 7 = 4

You have to place a plus-minus statement because (- 4)² and 4² both equal 16. 

Now we solve for x in each equation. Add 7 to both sides to isolate our variable.
x = 3 and x = 11

You might be interested in
Simplify<br> 53<br> Enter your answer in the box
vesna_86 [32]

Answer:

we need more information

Step-by-step explanation:

7 0
3 years ago
Determine the slope and y-intercept of each graph. Then, write the equation of the graph in slope-intercept form. please help ​
olchik [2.2K]

Answer:

slope = 2

y intercept = ( 0 , -1 )

equation:

y = 2x - 1

Step-by-step explanation:

7 0
3 years ago
Pls help
Karolina [17]

Answer:

D

Step-by-step explanation:

If we look at the right side of the equation we see that the y-intercept is 2, so we will place a point on (0,2).

Next, we look to see if the slope of the graph if positive or negetive, and to see what is the slope (2x).

Finally, we look at the inequality if it is greater than (>), less than (<), greater than or equal to (_>), or less than or equal to (<_).

*Note the following:

if < then the line is dotted and the shading will be under the line.

if > then the line is dotted and the shading will be above the line.

if <_ then the line is solid and the shading will be under the line.

if _> then the line is solid and the shading will be above the line.*

It is a lot of information if you look at it, but with practice it can be made easier.

8 0
3 years ago
A rectangle has a width of 3 units and a length of 4 units. Nancy needs to increase both the length and the width of the rectang
yarga [219]

Step-by-step explanation:

The length of a rectangle, l = 3 units

The breadth of a rectangle, b = 4 units

Nancy needs to increase both the length and the width of the rectangle by 2 units.

The area of a rectangle is given by

A = length(l) × breadth(b)

Here,

A = 3 × 4

= 12 unit²

If both length and width of the rectangle increase by 2 units,

New length = (4+2) = 6 units

New width = (3+2) = 5 units

New area = 6 × 5 = 30 unit²

Hence, new area becomes 30 unit².

3 0
3 years ago
What are the real and complex solutions of the polynomial equation X^3-216=0
vazorg [7]

Answer:

6,\ -3+3\sqrt{3}i,\ -3-3\sqrt{3}i

Step-by-step explanation:

Factor the equation x^3-216=0 using formula for difference of the cubes:

x^3-216=(x-6)(x^2+6x+36),

then

x-6=0\ or\ x^2+6x+36=0.

1. The equation x-6=0 has real solution x=6.

2. The equation x^2+6x+36=0 has negative discriminant D=6^2-4\cdot 36=36-144=-108, then it has two complex solutions

x_{1,2}=\dfrac{-6\pm 6\sqrt{3}i}{2}=-3\pm3\sqrt{3}i.

3 0
3 years ago
Other questions:
  • Round 258,177 to the nearest thousand asap !!!!!
    5·2 answers
  • Need help with this problem pics below!
    8·1 answer
  • Turn 294% to a fraction
    11·2 answers
  • Mr. Simpson spent five hours working on his lawn if you spent 25% of the time edging the flowerbeds how much time did he spend e
    7·1 answer
  • Explain the relationship between acceleration and velocity
    11·1 answer
  • I need help with this PLEASE!!
    9·1 answer
  • Y=74(1.01)^8 is it increasing or decreasing
    7·1 answer
  • Every floor of a 20 storey building is 5m in high. If a lift moves 2m every second, how long will it take to move from 3rd floor
    11·1 answer
  • Sorry about the rainbow stuff but what’s the answer
    6·1 answer
  • What is the solution to -8(5-3n+7n)=-40+24n-56n= ?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!