Answer:
12+(6×½)²
Step-by-step explanation:
ײ 6+12=0
⤵️
ײ+6×=12
ײ +6× + (6×½)² = -12+(6×½)²
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Answers & Comments
Simplifying
4x2 + 6x + 12 = 0
Reorder the terms:
12 + 6x + 4x2 = 0
Solving
12 + 6x + 4x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 3x + 2x2) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(6 + 3x + 2x2)' equal to zero and attempt to solve:
Simplifying
6 + 3x + 2x2 = 0
Solving
6 + 3x + 2x2 = 0
Begin completing the square. Divide all terms by
2 the coefficient of the squared term:
Divide each side by '2'.
3 + 1.5x + x2 = 0
Move the constant term to the right:
Add '-3' to each side of the equation.
3 + 1.5x + -3 + x2 = 0 + -3
Reorder the terms:
3 + -3 + 1.5x + x2 = 0 + -3
Combine like terms: 3 + -3 = 0
0 + 1.5x + x2 = 0 + -3
1.5x + x2 = 0 + -3
Combine like terms: 0 + -3 = -3
1.5x + x2 = -3
The x term is 1.5x. Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.
Add '0.5625' to each side of the equation.
1.5x + 0.5625 + x2 = -3 + 0.5625
Reorder the terms:
0.5625 + 1.5x + x2 = -3 + 0.5625
Combine like terms: -3 + 0.5625 = -2.4375
0.5625 + 1.5x + x2 = -2.4375
Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = -2.4375
Answer:
12+(6×½)²
Step-by-step explanation:
ײ 6+12=0
⤵️
ײ+6×=12
⤵️
ײ +6× + (6×½)² = -12+(6×½)²