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Mathematics
Nancy Lutz
3 October, 07:58
Factor the trinomial
x^2-9x+4x
+3
Answers (
2
)
Sonia Petty
3 October, 09:45
0
Step-by-step explanation:Simplifying
x2 + - 9x = 4x + - 4
Reorder the terms:
-9x + x2 = 4x + - 4
Reorder the terms:
-9x + x2 = - 4 + 4x
Solving
-9x + x2 = - 4 + 4x
Solving for variable 'x'.
Reorder the terms:
4 + - 9x + - 4x + x2 = - 4 + 4x + 4 + - 4x
Combine like terms: - 9x + - 4x = - 13x
4 + - 13x + x2 = - 4 + 4x + 4 + - 4x
Reorder the terms:
4 + - 13x + x2 = - 4 + 4 + 4x + - 4x
Combine like terms: - 4 + 4 = 0
4 + - 13x + x2 = 0 + 4x + - 4x
4 + - 13x + x2 = 4x + - 4x
Combine like terms: 4x + - 4x = 0
4 + - 13x + x2 = 0
Begin completing the square.
Move the constant term to the right:
Add '-4' to each side of the equation.
4 + - 13x + - 4 + x2 = 0 + - 4
Reorder the terms:
4 + - 4 + - 13x + x2 = 0 + - 4
Combine like terms: 4 + - 4 = 0
0 + - 13x + x2 = 0 + - 4
-13x + x2 = 0 + - 4
Combine like terms: 0 + - 4 = - 4
-13x + x2 = - 4
The x term is - 13x. Take half its coefficient (-6.5).
Square it (42.25) and add it to both sides.
Add '42.25' to each side of the equation.
-13x + 42.25 + x2 = - 4 + 42.25
Reorder the terms:
42.25 + - 13x + x2 = - 4 + 42.25
Combine like terms: - 4 + 42.25 = 38.25
42.25 + - 13x + x2 = 38.25
Factor a perfect square on the left side:
(x + - 6.5) (x + - 6.5) = 38.25
Calculate the square root of the right side: 6.184658438
Break this problem into two subproblems by setting
(x + - 6.5) equal to 6.184658438 and - 6.184658438.
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Marquise Chambers
3 October, 11:48
0
Step-by-step explanation:
Simplifying
x2 + - 9x = 4x + - 4
Reorder the terms:
-9x + x2 = 4x + - 4
Reorder the terms:
-9x + x2 = - 4 + 4x
Solving
-9x + x2 = - 4 + 4x
Solving for variable 'x'.
Reorder the terms:
4 + - 9x + - 4x + x2 = - 4 + 4x + 4 + - 4x
Combine like terms: - 9x + - 4x = - 13x
4 + - 13x + x2 = - 4 + 4x + 4 + - 4x
Reorder the terms:
4 + - 13x + x2 = - 4 + 4 + 4x + - 4x
Combine like terms: - 4 + 4 = 0
4 + - 13x + x2 = 0 + 4x + - 4x
4 + - 13x + x2 = 4x + - 4x
Combine like terms: 4x + - 4x = 0
4 + - 13x + x2 = 0
Begin completing the square.
Move the constant term to the right:
Add '-4' to each side of the equation.
4 + - 13x + - 4 + x2 = 0 + - 4
Reorder the terms:
4 + - 4 + - 13x + x2 = 0 + - 4
Combine like terms: 4 + - 4 = 0
0 + - 13x + x2 = 0 + - 4
-13x + x2 = 0 + - 4
Combine like terms: 0 + - 4 = - 4
-13x + x2 = - 4
The x term is - 13x. Take half its coefficient (-6.5).
Square it (42.25) and add it to both sides.
Add '42.25' to each side of the equation.
-13x + 42.25 + x2 = - 4 + 42.25
Reorder the terms:
42.25 + - 13x + x2 = - 4 + 42.25
Combine like terms: - 4 + 42.25 = 38.25
42.25 + - 13x + x2 = 38.25
Factor a perfect square on the left side:
(x + - 6.5) (x + - 6.5) = 38.25
Calculate the square root of the right side: 6.184658438
Break this problem into two subproblems by setting
(x + - 6.5) equal to 6.184658438 and - 6.184658438.
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