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bagirrra123 [75]
1 year ago
10

Solve algebraically for all x values

Mathematics
2 answers:
den301095 [7]1 year ago
6 0
X= 5
Simplify the equation

x=4=36-12x + X^2
Move the expression to the left
x-4-36+12x-x^2=0
Collect like terms
Calculate
13x-40-x^2=0
Reorder the terms

-x^2+13x-40 = 0
Change the signs
-x^2+13x+40=0
Rewrite the expression
x^2-5x-8×+40=0
Factor the expressions
x•( x-5)-8(x-5 )=0
Factor the expression
(x-5)•(x-8)=0
Separate into possible cases
x-5=0
x-8=0
Solve the equations
x=5
x=8
Check the solutions
6=6
10=6
x=5 is a solution
x=8 is not a solution
Delicious77 [7]1 year ago
4 0
<h2><u>Radical Equations</u></h2>

<h3>Solve algebraically for all x values</h3>

√(x - 4) + x = 6

To solve for x, make sure to remove first the radical sign before simplifying. To remove the radical sign (since it is square root) raise each side of the equation with an exponent of 2.

  • √(x - 4)² + x = 6
  • x - 4 + x = 6

Then start simplifying.

  • x - 4 + x = 6
  • x + x - 4 = 6
  • 2x = 10
  • x = 5

<u>Answer:</u>

  • The value of x is <u>5</u>.

Wxndy~~

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Answer:

The limit of the function does not exists.

Step-by-step explanation:

From the graph it is noticed that the value of the function is 6 from all values of x which are less than 2. At x=2, the line y=6 has open circle. It means x=2 is not included.

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The value of y is 1 at x=2, because of he close circles on (2,1).

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The limit of a function exist at a point a if the left hand limit and right hand limit are equal.

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The function is broken at x=2, therefore we have to find the left and right hand limit at x=2.

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Since the left hand limit and right hand limit are not equal therefore the limit of the function does not exists.

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