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MArishka [77]
1 year ago
7

Need answer solve for w w + 7.1 ———- = 2.87 3

Mathematics
1 answer:
Scorpion4ik [409]1 year ago
6 0

Answer:  1.51

Step-by-step explanation:

        \frac{w + 7.1}{3} =2.87

   3(\frac{w+7.1}{3})=3(2.87)

      w + 7.1 = 8.61

w + 7.1 - 7.1 = 8.61 - 7.1

               w = 1.51

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e-lub [12.9K]
The answer is:  " x = 0, 1 " .
__________________________________________
Explanation:
__________________________________________
Given:
__________________________________________
   " √(x + 1)  <span>− 1 = x "  ;   Solve for "x" ;

First, let us assume that "x </span>≥ -1 "
<span>
Add "1" to EACH SIDE of the equation:

 </span>→  √(x + 1)  − 1  + 1 = x + 1  ; 

to get:  

 →  √(x + 1)  = x + 1 .

Now, "square" EACH side of the equation:

 →  [√(x + 1) ]²  = (x + 1 )² ;

to get: 

   x + 1 = (x + 1)² 

↔  (x + 1)²  = (x + 1) .


Expand the "left-hand side" of the equation:

 → (x + 1)² = (x + 1)(x +1) ;

Note: (a+b)(c+d) = ac +ad + bc + bd ;

As such:  (x + 1)(x + 1) = (x*x) + (x*1) +(1(x) + (1*1) ;
                                   =  x² + 1x + 1x + 1 ; 
                                   =  x²  + 2x  +  1 ;

Now, substitute this "expanded" value, and bring down the "right-hand side" of the equation; and rewrite the equation:
__________________________________________
   " (x + 1)² = (x + 1)(x +1) " ; 

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 Subtract "x" ;  and subtract "1" ; from EACH SIDE of the equation:

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Factor out an "x" on the "left-hand side" of the equation:
___________________________________________
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The other value for "x" ;

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Add "1" to each side of the equation:

  → x − 1 + 1 = 0 + 1 ; 

 →  x = 1 ; 
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So, the answers:

 " x = 0, 1 " .
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