Question

5x square + 7x square + 3 × 3x +2

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Answer 1

Answer:

Solve 3x  

2

−5x+2=0 by completing the square method.

Step-by-step explanation:

Given 3x  

2

−5x+2=0

Here, the coefficient of x  

2

 is 3 and it is not a perfect square.

∴ Multiply the equation throughout by 3.

⇒(3x  

2

−5x+2=0)×3∴9x  

2

−15x+6=0

Now, half of the coefficient of x is  

2

5

​

.∴b=  

2

5

​

 and b  

2

=(  

2

5

​

)  

2

 

So, 9x  

2

−15x+(  

2

5

​

)  

2

−(  

2

5

​

)  

2

+6=0,(3x)  

2

−15x+(  

2

5

​

)  

2

=(  

2

5

​

)  

2

−6

(3x−  

2

5

​

)  

2

=  

4

25

​

−6=  

4

1

​

 

(Taking square root on both the sides)

∴3x−  

2

5

​

=±  

2

1

​

 

∴3x−  

2

5

​

=±  

2

1

​

 or 3x−  

2

5

​

=−  

2

1

​

 

3x=  

2

1

​

+  

2

5

​

          3x=  

2

5

​

−  

2

1

​

 

3x=  

2

6

​

=3            3x=  

2

4

​

=2

∴x=1           x=  

3

2

​