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
Leno4ka [110]
2 years ago
11

Why does the equation (x-4)^2-28=8 have two solutions?

Mathematics
2 answers:
aksik [14]2 years ago
5 0

Answer:

This is because it is a quadratic equation.

It can therefore be solved using either factorization method or completing of squares method.

the factorization method has been worked above.

Aliun [14]2 years ago
4 0
<h3>Answer:</h3>

For your first answer it is because they are two different ways to solve the equation

<h3>Step-by-step explanation:</h3>

For Example!

<h2>Solution 1:</h2>

(x-4)² – 28 = 8The 8 is positive making it a different equation (this is like absolute value). (I am assuming you know the answer to the probelm)

<h2>Solution 2:</h2>

(x-4)² – 28 = -8

The 8 could be negative meaning that when you add the 28 to the right side it is -8+28 which will be a negative!

<h3>I hope this helps</h3><h2>IF IT DOES HELP PLEASE GIVE IT A BRAINLIEST!</h2>
You might be interested in
Nate has a bag containing 3 red, 2 blue, 4 yellow, and 3 green marbles. If he randomly chooses one marble from the bag, what is
SVEN [57.7K]

<u>The probability that the marble will be blue if he shakes the bag and when you puts his hand into the bag, to move it around and probably he'll get the blue marble.</u>

<em>Hopefully, it correct.... :)</em>

4 0
3 years ago
Find the area of the following triangle:<br> 18<br> 9<br> 11<br> 14<br> Note: Figure not to scale.
Nataly [62]

Answer:

sorry but where is the triangle ️

3 0
2 years ago
Derivative of tan(2x+3) using first principle
kodGreya [7K]
f(x)=\tan(2x+3)

The derivative is given by the limit

f'(x)=\displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h

You have

\displaystyle\lim_{h\to0}\frac{\tan(2(x+h)+3)-\tan(2x+3)}h
\displaystyle\lim_{h\to0}\frac{\tan((2x+3)+2h)-\tan(2x+3)}h

Use the angle sum identity for tangent. I don't remember it off the top of my head, but I do remember the ones for (co)sine.

\tan(a+b)=\dfrac{\sin(a+b)}{\cos(a+b)}=\dfrac{\sin a\cos b+\cos a\sin b}{\cos a\cos b-\sin a\sin b}=\dfrac{\tan a+\tan b}{1-\tan a\tan b}

By this identity, you have

\tan((2x+3)+2h)=\dfrac{\tan(2x+3)+\tan2h}{1-\tan(2x+3)\tan2h}

So in the limit you get

\displaystyle\lim_{h\to0}\frac{\dfrac{\tan(2x+3)+\tan2h}{1-\tan(2x+3)\tan2h}-\tan(2x+3)}h
\displaystyle\lim_{h\to0}\frac{\tan(2x+3)+\tan2h-\tan(2x+3)(1-\tan(2x+3)\tan2h)}{h(1-\tan(2x+3)\tan2h)}
\displaystyle\lim_{h\to0}\frac{\tan2h+\tan^2(2x+3)\tan2h}{h(1-\tan(2x+3)\tan2h)}
\displaystyle\lim_{h\to0}\frac{\tan2h}h\times\lim_{h\to0}\frac{1+\tan^2(2x+3)}{1-\tan(2x+3)\tan2h}
\displaystyle\frac12\lim_{h\to0}\frac1{\cos2h}\times\lim_{h\to0}\frac{\sin2h}{2h}\times\lim_{h\to0}\frac{\sec^2(2x+3)}{1-\tan(2x+3)\tan2h}

The first two limits are both 1, and the single term in the last limit approaches 0 as h\to0, so you're left with

f'(x)=\dfrac12\sec^2(2x+3)

which agrees with the result you get from applying the chain rule.
7 0
3 years ago
Convert 17 years into minutes​
Setler79 [48]

Answer:

8,941,136.4 Minutes/ 8,935,200 Minutes

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Two angles are supplementary. their difference is 22°. find the angles
Vikentia [17]
I hope this helps you

4 0
3 years ago
Read 2 more answers
Other questions:
  • A restaurant offers 7 appetizers, 4 salads, 5 entrees and 8 desserts. in how many ways can a customer select a meal, if a meal c
    14·1 answer
  • A new diner opens on our street. It will be open 24 hours a day, seven days a week. It is assumed that the inter-arrival times b
    12·1 answer
  • Write a formula for the general term or nth term for the sequence. Then find the indicated term. five halves comma five fourths
    6·1 answer
  • Find the measure of the angle formed between the base of the cone and a line segment that represents the slant height
    10·1 answer
  • What is the solution for 0.75x + 1.5 =10?
    15·2 answers
  • A 10 meter ladder was placed on an angle. The base of the ladder is 5 meters away from the
    13·2 answers
  • 1/8 plus 1/4 equals.
    12·2 answers
  • 10) The scale of a map is 1 inch represents 4 miles. How many miles does 0.5 inches represent?
    10·2 answers
  • Find the value of x and find the value of polygon JKLM​
    8·1 answer
  • Billy is going to share 2 1/2 pizzas with
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!