Question

) 3m2 + 2m – 7 = 0Completing the square method :

Answer 1

In the attachment I have answered this problem.

I have applied quadratic formula to find the roots.

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Answer 2

Step-by-step explanation:

3m^2 + 2m _ 7 = 0

3 m^ 2 / 3 +2m/3 _7/3 =0

m^2 +2m/3 _7/3 =0

m^2 +2m/3 = 7/3

m^2 + 2m /3 +(1/3)^2 = 7/3 +(1/3)^2

(m+1/3)^2 = 7/3 +1/9

(m+1/3) ^2 = 63+3 / 27

(m+1/3) ^2 = 66/27

( m+1/3) ^2 = 22/9

m+1/3 = √ 22/9

m+1/3 = √ 22/3

m= √22/3 + 1/3

m= √ 22+1 /3

m = √ 22/3 _ 1/3

m = √ 22 _1 /3