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
mixer [17]
3 years ago
14

1. Given the equation (x – 3)2 – 32 = 17 a)

Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0
We know that

The square root property<span> is one method that is used to find the solutions to a quadratic equation.  This method involves taking the square roots of both sides of the equation.  
</span>(x – 3)² – 32 = 17-------> (x – 3)² = 17+32-----------> (x – 3)² = 49
(x – 3)² = 7²--------> <span>will take the square root of each side
</span>so
√(x – 3)²=(+-)√7²------> <span>notice the use of the </span> sign (+-), this will give us both a positive and<span>  a negative root
</span>
then

x-3=7--------> x=10
x-3=-7-------> x=-4

the answer Part a) is
x=10
x=-4

Part b) Explain why the given equation has two solutions.

the answer part b) is
Because exist<span> the possibility of two roots for every square root, one positive and one negative</span>
You might be interested in
A rectangular carpet has a perimeter of 244 inches. The length of the carpet is 90 inches more than the width. Determine the dim
RSB [31]

Answer:

The dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

Step-by-step explanation:

Perimeter of rectangle = 244 inches

Let Width of rectangle = w

Length of rectangle = w+90

We need to find the dimensions (length and width) of the carpet

The formula used will be: Perimeter=2(length+width)

Putting values and making equation:

244=2w+2(w+90)\\Solving:\\244=2w+2w+180\\244=4w+180\\Switching\:sides\\4w+180=244\\Subtracting\:180\:from\:both\:sides\\4w=244-180\\4w=64\\Dividing\:both\:sides\:by\:4\\\frac{4w}{4} =\frac{64}{4}\\w=16

So, we get w = 16

The width w = 16 inches

Now, finding length = w+ 90 = 16+90 = 106 inches

Therefore the dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

4 0
3 years ago
There are eight employees on the Game Shop's sales teams. Last month, they sold a total of g games. One of the sales teams membe
liberstina [14]

Answer:

g/8 - 17

Step-by-step explanation:

Number of employees = 8

Total games sold = g

Average sales per employee = total games sold / number of employees = g/8

Chris sold 17 fewer games than the average sales per employee :

Chris sale = average sale per employee - 17

Chris sales = g/8 - 17

4 0
3 years ago
A plane traveled from California and back. It took one hour longer on the way out than it did on the way back. The plane's avera
andrezito [222]

300t = 350(t-1)

300t = 350t-350

-50t=-350

t = -350 /-50

t = 7 hours

4 0
3 years ago
Read 2 more answers
Please help me with this. an explanation would be great as well
Ira Lisetskai [31]

Answer:

A

Step-by-step explanation:

test the constant 1/2 + (1/2)*(-3) = -2/2 = -1

6 0
3 years ago
Read 2 more answers
Help pleaseeeeeeeeeeeeeeeeeeeeee
xxTIMURxx [149]

Answer:

-8 X 3 = -24 + 9 = -15 or you could do    -24+9=-15

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • dentify and extend the pattern to find the next number in this sequence: 3, 12, 48, 192, ... A. 336 B. 768 C. 201 D. 228
    6·1 answer
  • Lines Line A E and Line G H are parallel in the image below. The image will be used to prove that the sum of the measures of the
    8·2 answers
  • Mr.Dow lives 16 miles from his workplace he drives to and from work five days a week if his car gets 19.2 miles per gallon how m
    13·1 answer
  • F(x) = 9 - x, g(x) = x2 + x, h(x) = x - 2 <br> Compute the following: <br> f(g(x)
    15·1 answer
  • If it takes (a) men (b) hours to dig (c) holes, how many men are required to dig b holes in c hours?
    7·1 answer
  • Is 5.25 rational or irrational
    11·2 answers
  • What is 1 3/5 divided by 8 4/15
    10·2 answers
  • Please help me with this equation! First person to answer correctly will get Brainliest!!!​
    7·2 answers
  • Subscribe to AppleCommercial’s please it would mean a lot
    5·2 answers
  • In the game of roulette in the United States a wheel has 38 slots: 18 slots are black, 18 slots are red, and 2 slots are green.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!