Question

2) Factorise - 12x2 - 7x + 6​

Answer 1

Step-by-step explanation:

12x2 + 7x + 6 = 0

Reorder the terms:

6 + 7x + 12x2 = 0

Solving

6 + 7x + 12x2 = 0

Solving for variable 'x'.

Begin completing the square. Divide all terms by

12 the coefficient of the squared term:

Divide each side by '12'.

0.5 + 0.5833333333x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.

0.5 + 0.5833333333x + -0.5 + x2 = 0 + -0.5

Reorder the terms:

0.5 + -0.5 + 0.5833333333x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0

0.0 + 0.5833333333x + x2 = 0 + -0.5

0.5833333333x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5

0.5833333333x + x2 = -0.5

The x term is 0.5833333333x. Take half its coefficient (0.2916666667).

Square it (0.08506944446) and add it to both sides.

Add '0.08506944446' to each side of the equation.

0.5833333333x + 0.08506944446 + x2 = -0.5 + 0.08506944446

Reorder the terms:

0.08506944446 + 0.5833333333x + x2 = -0.5 + 0.08506944446

Combine like terms: -0.5 + 0.08506944446 = -0.41493055554

0.08506944446 + 0.5833333333x + x2 = -0.41493055554

Factor a perfect square on the left side:

(x + 0.2916666667)(x + 0.2916666667) = -0.41493055554

Can't calculate square root of the right side.

The solution to this equation could not be determined.