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
6. [(69 - 9) + 23]4<br> how do u solve this
Andru [333]
Always do the parentheses first. In this case, there are two parentheses, so do the parentheses inside the other parentheses first. After that, it’s just simple addition, subtraction, and multiplication.

(69-9)= 60

(60+23)= 83

83x4= 332
8 0
3 years ago
Read 2 more answers
4/6 x what equals 8/6​
Sidana [21]

Answer: 4/6

1. Subtract 8/6 by 4/6.

  • 8/6 - 4/6 = 4/6

4/6 + 4/6 = 8 is the same as:

  • 4 + 4 = 8

<em>Notice: You don't change the denominator if your adding or subtracting.</em>

<em>That's why 4 + 4 = 8 is the same as 4/6 + 4/6.</em>

<em />

<h2>Final answer: 4/6. </h2>

5 0
2 years ago
Shelly is 3 years older than Michele. Four years ago the sum of their age was 67. Find the age of each person.
lawyer [7]

total of ages now is 67 + 4 + 4 = 75

S=shelly

M= Michelle

Michelle is 3 yrs younger than Shelly so use S-3

S +M = 75

replace M with S-3 to get:

S +S-3=75

2S=78

s=39

So shelly is 39

Michelle is 3 years younger = 39-3 = 36


4 0
3 years ago
Read 2 more answers
ANSWER THIS PLEASE I NEED TO GET MY SLEEP I FORGOT ​
alisha [4.7K]

Answer:

x=0.2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
At Grayson's Pancake House there are 86 dirty coffee mugs and 774 clean coffee mugs. What percentage of the coffee mugs at the p
Marina86 [1]

Answer:

10%

Step-by-step explanation:

774+86=860

86/860=d/100

860d=8600

8600÷860=10

Hope this helps

7 0
3 years ago
Other questions:
  • NOT A MATH QUESTION!!! JUST A LIFE QUESTION....
    13·1 answer
  • What is not a congruence transformation
    12·1 answer
  • 5x + 4y = 8<br> Write in slope intercept form
    9·2 answers
  • (02.07 HC)
    7·1 answer
  • The total amount of money, m, earned by washing cars at a school fundraiser is proportional to the number of cars, c, washed at
    12·1 answer
  • Solve for "y" 1.2x-4y=28
    5·1 answer
  • Is it geometric or arithmetic? Why
    8·1 answer
  • Calculate the volume of each cylinder.<br><br> enter your answers in the table.
    9·2 answers
  • 7^7/7^3=7^x solve for x
    8·1 answer
  • HELLPPPPP PLS INCLUDE EXPLANATION ON HOW TO DO IT SO I CAN DO IT ON MY OWN!!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!