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
TiliK225 [7]
3 years ago
11

Solve the Quadratic Equation By Completing the Square b^2-15b-54=0

Mathematics
1 answer:
vladimir1956 [14]3 years ago
3 0
b^{2}-15b-54=0. \newline
b^{2}-15b=54. \newline
b^{2}-15b+(\frac{15}{2})^{2}=54+(\frac{15}{2})^{2}. \newline
(b-\frac{15}{2})^{2}=\frac{441}{4}. \newline
b-\frac{15}{2}=\pm\frac{21}{2}. \newline
b=\pm\frac{21}{2}+\frac{15}{2}. \newline
b_1 = -3, b_2 = 18.
You might be interested in
It takes Santa 5 minutes to fly 35 miles with the wind .It takes him 7 minutes to fly 35 miles against the wind determine the sp
Dmitrij [34]

Answer: Santa's speed in still air is 6 miles per minute

Speed of the wind is 1 mile per minute

Step-by-step explanation:

Let x represent the speed of Santa in still air. It is assumed that in still air. She is flying with the wind. If the speed of the wind is y, then him total speed is x + y

It takes Santa 5 minutes to fly 35 miles with the wind.

Speed = distance / time

It means that

x + y = 35/5 = 7

It takes him 7 minutes to fly 35 miles against the wind. This means that his total speed will be x - y

Speed = distance/time. Therefore,

x - y = 35 /5 = 5 - - - - - - 1

Substituting x = 7 - y into equation 1, it becomes

7 - y - y = 5

-2y = 5 - 7 = -2

y = -2/-2 = 1

x = 7 - y = 7 - 1

x = 6

3 0
3 years ago
Solve for F:<br> C=5(F-32)/9
puteri [66]
C = 5(F-32)/9      Multiply each side by 9
9C = 5(F-32)       Distribute
9C = 5F - 160     Add 160 to each side
9C + 160 = 5F     Divide each side by 5
9/5C + 32 = F
5 0
3 years ago
What's rotational symmetry?<br> Can u give a full on explanation?<br> PLS
prohojiy [21]
There is rotational symmetry if there is a center around the object that is turned or rotated a certain amount of degrees and the shape isn't changed.
4 0
3 years ago
How do you solve y=3x+16 using substitution
Ghella [55]
There's nothing to substitute, and no solution,
until somebody gives you another equation.
8 0
3 years ago
Robbie wants to buy his friend a new phone for his birthday, Robbie’s job at the mall pays about $54 and an extra $1.50 per item
poizon [28]

He'd have to sell 268 items

268x $1.50 = 402

$402 + $54 = $456


7 0
3 years ago
Other questions:
  • Can someone help me with this problem
    9·1 answer
  • Solve and simplify: x(x - 1) = 121 – x​
    7·2 answers
  • I need help uwuwuwuwuwuauauuwuwuauaua
    14·1 answer
  • 1.
    5·1 answer
  • Select the correct answer.
    13·1 answer
  • Solve for b: 2b+11=19​
    5·2 answers
  • HELP PLEASE WILL GIVE BRAINLIEST
    11·1 answer
  • Which point is a solution to the system of equations below?
    8·2 answers
  • Kuvvet bir şeyi olçen şeye kuvvet denir​
    6·1 answer
  • In 2014, the Centers for Disease Control and Prevention reported the average human life span in the United States as
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!