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
Anna35 [415]
3 years ago
8

How to find the square root of 5x-25=0

Mathematics
1 answer:
RSB [31]3 years ago
3 0

Answer:

   x = ± √5 = ± 2.2361


Step-by-step explanation:

Two solutions were found :

                  x = ± √5 = ± 2.2361

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 5x2 -  25  = 0  

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  5x2 - 25  =   5 • (x2 - 5)  

Trying to factor as a Difference of Squares :

3.2      Factoring:  x2 - 5  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =  

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.  

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 5 is not a square !!  

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step  3  :

 5 • (x2 - 5)  = 0  

Step  4  :

Equations which are never true :

4.1      Solve :    5   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    x2-5 = 0  

Add  5  to both sides of the equation :  

                     x2 = 5  

 

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ 5  

              x = ± √5 = ± 2.2361  


You might be interested in
Solve −4(x + 10) − 6 = −3(x − 2).<br> A.−40 B.−46 C.−52 D.52
m_a_m_a [10]
The answer is -52 so it would be C
8 0
3 years ago
Read 2 more answers
OMG PLZ HELP ME PLSS ILL GIVE BRAINLKEST NO ONE IS ANSWERING ME PLZ PLZ IM BEGGING YOU
Usimov [2.4K]

Answer:

A

Step-by-step explanation:

Positive 5 intercept

x then y so -4 then 1

3 0
2 years ago
Which set of tokens represents 0?<br> Positive<br> Negative<br><br><br> Pls helpp!!
yKpoI14uk [10]

Answer:

C.

represent 0

hope it helps

5 0
2 years ago
Suppose you cut along a diagonal of a rhombus, a rectangle, or a square. Would you get two triangles that have the same shape an
stich3 [128]
I believe the answer to your question is 

Yes, you would get two triangles that have the same shape and size
3 0
3 years ago
Heather's school is switching from block scheduling to a more traditional schedule. She is trying to determine how the parents a
k0ka [10]
Had to look for the options for this question and here is my answer.
Based on the given scenario above regarding Heather school's scheduling, I can say that the question that would be the most appropriate for her to ask is "How do you feel about your child having to take summer school in order to graduate based on this traditional schedule?" Hope this helps.
8 0
3 years ago
Other questions:
  • I need help asap <br> Pleasssee
    7·2 answers
  • Devin made some mistakes. Identify where he made each mistake:
    11·1 answer
  • Stephanie has $152 in the bank she with drawl $20 then she deposits $84 write an addition expression to represent this situation
    10·1 answer
  • Find the value of x. The diagram is not to scale.
    13·1 answer
  • Which describes the amount of product a seller is able to make?
    8·1 answer
  • Round 218 to the nearest ten
    7·2 answers
  • Which process will create a figure that is congruent to the figure shown?
    6·2 answers
  • Solve simultaneously <br>2 log y=log 2 + log x <br>2 to power y = 4 to power x<br>​
    10·1 answer
  • Blanca jogged 8 days last month she jogged 1.25 miles on each day and burned 140 calories per mile while jogging how many calori
    7·1 answer
  • Write as an algebraic expression: the product of 7 and y, increased by 20 ​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!