Math, asked by rhydhampatel2006, 6 hours ago

find the roots of x2 -5x +3=0 by the method of perfect square​

Answers

Answered by nirmalyabhujabal
0

Answer:

Correct option is

A

{

2

−3+

5

,

2

−3−

5

}

x

2

+3x+1=0

The 3 will have to be divided by 2 then the result should be squared and the final result is

4

9

. This number will be added and subtracted in the equation on one side.

x

2

+3x+

4

9

4

9

+1=0

(x

2

+3x+

4

9

)−

4

9

+1=0

(x+

2

3

)

2

4

9

+1=0

(x+

2

3

)

2

4

5

=0

(x+

2

3

)

2

=

4

5

Now taking square root on both sides we get,

x+

2

3

2

5

∴ x=−

2

3

±

2

5

∴ x=−

2

3

+

2

5

and x=−

2

3

2

5

⇒ x=(

2

−3+

5

,

2

−3−

5

)

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