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
yawa3891 [41]
3 years ago
6

How do I solve this radical and then check all the solutions?

Mathematics
1 answer:
MArishka [77]3 years ago
3 0

Answer:

This problem of equations involving surds can be solved by :

Firstly,square both sides of the equation to do away with the surd

(√x+3)²=(x-3)²

Next,we do away with the surd or let me put it as sign of square root and FOIL out the RHS

x+3=x²-6x+9

Rearranging leads to:

x²-6x-x+9-3=0

x²-7x+6=0 which factorises to:

(x-6)(x-1)=0

Finding the zeros leads to

x=6 or 1

We now conduct a test to see which value(s) of x satisfy the equation

√6+3=6-3

√9=3

3=3, so x=6 is true

Now for 1,

√1+3=1-3

√4 is not equal to -2

Therefore we conclude that x=6

You might be interested in
P divided by 8.2 = 9.3<br> who is smart
Svet_ta [14]
P=1886/25 or 75 11/25

Hope this helps :)
8 0
2 years ago
Read 2 more answers
Box- and- whisker plot!! NO LINKS PLEASE<br>A, B, C, or D?<br><br>​
Alika [10]
I think the answer is c
3 0
2 years ago
What is the solution to this equation? 4x+x-15+3-8x=13
Ierofanga [76]

Answer:

x = -25/3

Step-by-step explanation:

The equation simplifies to -3x - 25 = 0, so

-3x = 25 =>

x = -25/3

7 0
2 years ago
Write each height using scientific notation 1700000000 and 152000000
Gnesinka [82]
1.7 times 10 to the 9 power 1.52 times10 to the 8 power
5 0
2 years ago
Show that the triangles are similar and write a similarity statement. 18 POINTS!!!
ivolga24 [154]

Answer:

\frac{RS}{UV} =\frac{RQ}{UT} =\frac{QS}{TV}

So ΔQRS ~ ΔTUV

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • If AC equals 48 meters, what is the perimeter of the field
    14·2 answers
  • I need help on this question plz
    14·2 answers
  • What is slope of the line here ???
    14·1 answer
  • How is a graph is used to find the solution to a system of equations?
    10·1 answer
  • What are the solutions to the equation?
    8·2 answers
  • b is the midpoint of AC. a has coordinates (9.11), and B has coordinates (-10,5). find the coordinates of c.
    8·1 answer
  • Find scale factor, value of x, y &amp; z please
    5·1 answer
  • CAN SOMEONE PLEASE HELP ME WITH THESE
    8·1 answer
  • Which of the following expression is equivalent to 6x2−13x−28
    15·1 answer
  • It is 8 a.m. and the animals are waking up. In exactly 5 minutes. Sarah will chirp. Sarah will then chirp every 5 minutes until
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!