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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

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Since angle 1 and 5 equal 100 each angle is 50. Since 1 and 3 are supplementary subtract 180 and 50
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3 years ago
The solution to x2 – 10x = 24 is
Marat540 [252]

Answer:

x = - 2, x = 12

Step-by-step explanation:

Given

x² - 10 x  = 24 ( subtract 24 from both sides )

x² - 10x - 24 = 0 ← in standard form

To factorise the quadratic

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 12 and + 2, since

- 12 × 2 = - 24 and - 12 + 2 = - 10, thus

(x - 12)(x + 2) = 0

Equate each factor to zero and solve for x

x - 12 = 0 ⇒ x = 12

x + 2 = 0 ⇒ x = - 2

8 0
3 years ago
Read 2 more answers
Help with this please!
uranmaximum [27]
Here. Remember to get the correct units. If you need extra help, I am more than willing to help!

4 0
2 years ago
3/12+ = 7/12 as a faction <br><br> please help me
ohaa [14]

Answer:

10/12 or simplified its 5/6

Step-by-step explanation:

3+7 = 10

you keep the 12

10÷2 = 5

12÷2=6

common denominator

6 0
3 years ago
The slope of the line that contains the points (2, -7) and (-2, 5) is -3. What is the y-intercept?
kramer

Answer:

C. -1

Step-by-step explanation:

Find the y intercept by plugging in the slope and a given point into the equation y = mx + b. Then, solve for b:

y = mx + b

-7 = -3(2) + b

-7 = -6 + b

-1 = b

So, the y intercept is -1.

The correct answer is C. -1

4 0
2 years ago
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