Question

3 m2 +2m=7
formula method
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Answer 1

Answer:

3m

2

+2m−7=0

a=3,b=2,c=−7

m=

2a

−b±

b

2

−4ac

m=

2⋅3

−2±

2

2

−4⋅3(−7)

=

6

−2±2

22

m=

3

−1+

22

,−

3

1+

22

Answer 2

3m² + 2m = 7

➝ m ( 3 m + 2 ) = 7

➝ m = 7/ ( 3 m + 2 )

3 m2 +2m=7

➝ 3 × (7/ ( 3 m + 2 ) )² + 2 × 7/ ( 3 m + 2 ) = 7

➝ ( 21 )² / (3 m + 2 ) ² + 14 (3 m + 2 ) / ( 3 m + 2 )² = 7

➝ 441/ (9m² + 4) + 42m + 28 / 9m²+ 4 = 7

➝ 441 + 42m + 28 = 7(9m² + 4)

➝ 441 + 42m + 28 = 63m² + 28

➝ 63m² + 42 m + 441 + 28 - 28 = 0

➝ 63m² + 42 m + 441 = 0

➝ 63m² + 42 m + 441 = 0

Deviding all by 7

➝ 9 m² + 6 m + 63 = 0

Deviding all by 3

➝ 3 m² + 2 m + 21 = 0

➝ 3 m² + 9 m - 7m + 21 = 0

➝ 3m (m + 3) - 7 (m + 3) = 0

➝ (3m - 7 ) (m + 3) = 0

➝ (3m - 7 ) = 0 , (m + 3) = 0

➝ (3m - 7 ) = 0

➝ 3m = 7

➝ m = 7/3

(m + 3) = 0

➝ m = -3

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