Question

solve 6x^2 + 3= -11x by factorization method

Answer 1

ANSWER:-

6x^2+3=-11x

By arrenging properly we get

6x^2+11x+3=0

then by middle term splitting

6x^2+2x+9x+3=0

2x(3x+1)+3(3x+1)

(2x+3)(3x+1)

their factor

x=-3/2 Or X=-1/3

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Answer 2

Answer:

→ 6x^2 + 3 = - 11x

→ 6x^2 + 3 + 11x = 0

→ 6x^2 + 11x + 3 = 0

Splitting 11 in two parts such that product of those parts becomes equal to the product of 6 and 3.

→ 6x^2 + ( 9 + 2 )x + 3 = 0

→ 6x^2 + 9x + 2x + 3 = 0

→ 3x( 2x + 3 ) + ( 2x + 3 ) = 0

→ ( 2x + 3 ) ( 3x + 1 ) = 0

→ 2x + 3 = 0 or 3x + 1 = 0

→ 2x = - 3 or 3x = - 1

→ x = - 3/2 or x = - 1/3