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
iren2701 [21]
3 years ago
14

(5-x)(5+x)=(x-4)²-7 Helpp((

Mathematics
1 answer:
hoa [83]3 years ago
8 0
   
\displaystyle\\
(5-x)(5+x)=(x-4)^2-7\\\\
5^2 - x^2 = x^2-8x + 16 -7\\\\
-x^2 -x^2+8x + 25 -16+7=0\\\\
-2x^2 + 8x +16=0\\\\
x_{12}=  \frac{-b\pm  \sqrt{b^2-4ac} }{2a}= \frac{-8\pm \sqrt{64-4\cdot(-2)\cdot 16} }{2\cdot(-2)}=\\\\
 = \frac{-8\pm \sqrt{64+ 128} }{-4}= \frac{-8\pm \sqrt{192} }{-4}= \frac{-8\pm \sqrt{64\cdot 3} }{-4}=\\\\
=\frac{-8\pm 8\sqrt{ 3} }{-4}=2\mp 2\sqrt{ 3}\\\\
\boxed{\bf x_1 = 2-2\sqrt{ 3}}\\\\
\boxed{\bf x_2 = 2+2\sqrt{ 3}}



You might be interested in
Use the explicit formula an=a1+(n-1)•d to find the 300th term of the sequence below 57,66,75,84,93
Grace [21]
a_{300}=57+(300-1)\cdot9\\
a_{300}=57+299\cdot9\\
a_{300}=57+2691\\
a_{300}=2748
6 0
3 years ago
Read 2 more answers
Please! Quick, how may days are in between 12/1/16 and 7/20/20???
lozanna [386]
1,327 days are in between 12/1/16 and 7/20/20
8 0
3 years ago
Read 2 more answers
Name each polynomial<br><br> 4m^2-5m+6<br><br> 18s-7<br><br> 6p^3
faltersainse [42]

Answer:

Quadratic function

linear function

cubic function

Step-by-step explanation:

5 0
2 years ago
What us problems 6 and 7?<br>​
Sunny_sXe [5.5K]

Answer:

y=(x+7)2(2x+1)(x−4)

y=2x4+21x3−4x2−399x−196

Step-by-step explanation:

8 0
3 years ago
A farmstand sells two types of grapes. the cost of green grapes can be represented by the equation Y= 1.5X, where Y is the total
creativ13 [48]

Answer:

C. Black grapes cost more per pound than green grapes.

Step-by-step explanation:

<em>Verify each statement</em>

A. Three pounds of green grapes cost $6.00

The statement is False

Because

For x=3 pounds

y=1.5x

y=1.5(3)=$4.5

B. Black grapes cost less per pound than green grapes

The statement is False

Because

For x=1 pound

The green grapes cost ----> y=1.5(1)=$1.5

Observing the graph

For x=1 pound

The black grapes cost $2

C. Black grapes cost more per pound than green grapes.

The statement is True

D. Two pounds of black grapes cost $3.00.

The statement is False

Because

Observing the graph

Two pounds of black grapes cost $4

3 0
3 years ago
Other questions:
  • 8,100 divided by 9= 90. Yes or No?
    12·2 answers
  • Please help me need help with algebra
    12·1 answer
  • Is 4.0 27 greater than or less than 4.00 92?
    10·2 answers
  • 2a+4(7+5a)<br>I need simplify that, can u guys help me??
    11·2 answers
  • Suppose the null hypothesis, H0, is: a sporting goods store claims that at least 70% of its customers do not shop at any other s
    14·1 answer
  • Is 7m+6=9m-2 the same solution as 3m=36-6m
    6·2 answers
  • Can someone help with this plz?
    6·2 answers
  • Maddie'is working problems on her 250 problem test. She can work them
    8·1 answer
  • A restaurant charges a standard price for a plain cheese pizza, plus
    13·1 answer
  • If the distance between the wall and the bottom of the plywood was three feet, what was the distance between the floor and the t
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!