x²+12x+19 factorize (maths) pls answer fast urgent
Answers
Answer:
x^2+12×+19=0
(0)^2+12(0)+19=0
0+0+19=0
0+19=0
=-19
Step-by-step explanation:
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Answer:
Simplifying
x2 + 12x + 19 = 0
Reorder the terms:
19 + 12x + x2 = 0
Solving
19 + 12x + x2 = 0
Solving for variable 'x'.
Begin completing the square.
Move the constant term to the right:
Add '-19' to each side of the equation.
19 + 12x + -19 + x2 = 0 + -19
Reorder the terms:
19 + -19 + 12x + x2 = 0 + -19
Combine like terms: 19 + -19 = 0
0 + 12x + x2 = 0 + -19
12x + x2 = 0 + -19
Combine like terms: 0 + -19 = -19
12x + x2 = -19
The x term is 12x. Take half its coefficient (6).
Square it (36) and add it to both sides.
Add '36' to each side of the equation.
12x + 36 + x2 = -19 + 36
Reorder the terms:
36 + 12x + x2 = -19 + 36
Combine like terms: -19 + 36 = 17
36 + 12x + x2 = 17
Factor a perfect square on the left side:
(x + 6)(x + 6) = 17
Calculate the square root of the right side: 4.123105626
Break this problem into two subproblems by setting
(x + 6) equal to 4.123105626 and -4.123105626.
Subproblem 1
x + 6 = 4.123105626
Simplifying
x + 6 = 4.123105626
Reorder the terms:
6 + x = 4.123105626
Solving
6 + x = 4.123105626
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + x = 4.123105626 + -6
Combine like terms: 6 + -6 = 0
0 + x = 4.123105626 + -6
x = 4.123105626 + -6
Combine like terms: 4.123105626 + -6 = -1.876894374
x = -1.876894374
Simplifying
x = -1.876894374
Subproblem 2
x + 6 = -4.123105626
Simplifying
x + 6 = -4.123105626
Reorder the terms:
6 + x = -4.123105626
Solving
6 + x = -4.123105626
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + x = -4.123105626 + -6
Combine like terms: 6 + -6 = 0
0 + x = -4.123105626 + -6
x = -4.123105626 + -6
Combine like terms: -4.123105626 + -6 = -10.123105626
x = -10.123105626
Simplifying
x = -10.123105626
Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-1.876894374, -10.123105626}