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Svetllana [295]
4 years ago
5

What is the result of factoring out the gcf from the expression (24 36)?

Mathematics
2 answers:
lisov135 [29]4 years ago
6 0

Answer:

gcf of the given expression (24 , 36) is 12.

Step-by-step explanation:

Given: expression (24 , 36)

We have to find the gcf of the given expression (24 , 36).

GCF stands for greatest common factor that divide the two numbers.

24 can be written as 2 × 2 × 2 × 3  

36 can be written as 2 × 2 × 3 × 3      

Thus, factors that are Common to both numbers 24 and 36 are  2 × 2 × 3

Thus, gcf of the given expression (24 , 36) is 12.

Gelneren [198K]4 years ago
5 0
Greatest common factor of 24 and 36 is 12. By just observing.

Factoring out 12.

24 = 12*2

36 = 12*3

(24   36)   =    12(2     3) 
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<span>sqrt(3x+7)=x-1 </span>One solution was found :                  <span>      x = 6
</span>Radical Equation entered :

<span>     √3x+7 = x-1

</span>

Step by step solution :<span>Step  1  :</span>Isolate the square root on the left hand side :

     Radical already isolated 
<span>     √3x+7 = x-1

</span>

<span>Step  2  :</span>Eliminate the radical on the left hand side :

     Raise both sides to the second power
<span>     (√3x+7)2 = (x-1)2

</span>     After squaring 
<span>     3x+7 = x2-2x+1

</span>

<span>Step  3  :</span>Solve the quadratic equation :

     Rearranged equation
<span>     x2  - 5x  -6 = 0
</span>
     This equation has two rational roots:
     <span>  {x1, x2}={6, -1}
 </span>

<span>Step  4  :</span>Check that the first solution is correct :

     Original equation
<span>     √3x+7 = x-1

</span>     Plug in 6 for  x 
<span>      √3•(6)+7 = (6)-1

</span>      Simplify
     <span> √25 = 5
 </span>     Solution checks !!
     Solution is: 
<span>      x = 6
</span>

<span>Step  5  :</span>Check that the second solution is correct :

     Original equation
<span>     √3x+7 = x-1

</span>     Plug in  -1 for  x 
<span>      √3•(-1)+7 = (-1)-1

</span>      Simplify
     <span> √4 = -2
 </span>     Solution does not check 
      2 ≠ -2 

One solution was found :                  <span>      x = 6</span>
7 0
3 years ago
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