Question

solve the following equation

3² =14−8​

Answer 1

Step-by-step explanation:

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Answer 2

Dividing both sides by 3, we get

x  

2

−  

3

14

​

x+  

3

8

​

=0

Now, we add to both sides the square of half the coefficient of x to make the left side a perfect square. Adding 49/9 to both sides, we get

x  

2

−  

x

14

​

x+  

9

49

​

=  

9

49

​

−  

3

8

​

 

or (x−  

3

7

​

)  

2

=  

9

25

​

 

or x−  

3

7

​

=±  

3

5

​

 

i.e., x=  

3

7

​

±  

3

5

​

=  

3

12

​

,  

3

2

​

 

∴x=−4 or  

3

2

​