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Sagot :
Step-by-step explanation:
Simplifying
x2 + -9x + -3 = 0
Reorder the terms:
-3 + -9x + x2 = 0
Solving
-3 + -9x + x2 = 0
Solving for variable 'x'.
Begin completing the square.
Move the constant term to the right:
Add '3' to each side of the equation.
-3 + -9x + 3 + x2 = 0 + 3
Reorder the terms:
-3 + 3 + -9x + x2 = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -9x + x2 = 0 + 3
-9x + x2 = 0 + 3
Combine like terms: 0 + 3 = 3
-9x + x2 = 3
The x term is -9x. Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.
Add '20.25' to each side of the equation.
-9x + 20.25 + x2 = 3 + 20.25
Reorder the terms:
20.25 + -9x + x2 = 3 + 20.25
Combine like terms: 3 + 20.25 = 23.25
20.25 + -9x + x2 = 23.25
Factor a perfect square on the left side:
(x + -4.5)(x + -4.5) = 23.25
Calculate the square root of the right side: 4.82182538
Break this problem into two subproblems by setting
(x + -4.5) equal to 4.82182538 and -4.82182538.
Subproblem 1
x + -4.5 = 4.82182538
Simplifying
x + -4.5 = 4.82182538
Reorder the terms:
-4.5 + x = 4.82182538
Solving
-4.5 + x = 4.82182538
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4.5' to each side of the equation.
-4.5 + 4.5 + x = 4.82182538 + 4.5
Combine like terms: -4.5 + 4.5 = 0.0
0.0 + x = 4.82182538 + 4.5
x = 4.82182538 + 4.5
Combine like terms: 4.82182538 + 4.5 = 9.32182538
x = 9.32182538
Simplifying
x = 9.32182538
Subproblem 2
x + -4.5 = -4.82182538
Simplifying
x + -4.5 = -4.82182538
Reorder the terms:
-4.5 + x = -4.82182538
Solving
-4.5 + x = -4.82182538
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4.5' to each side of the equation.
-4.5 + 4.5 + x = -4.82182538 + 4.5
Combine like terms: -4.5 + 4.5 = 0.0
0.0 + x = -4.82182538 + 4.5
x = -4.82182538 + 4.5
Combine like terms: -4.82182538 + 4.5 = -0.32182538
x = -0.32182538
Simplifying
x = -0.32182538
Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.32182538, -0.32182538}
Answer:
I can anwser the fist part but im not sure what you mean by hunt for twice the larger root. But by completing the square your overall end result by rounding to the hundreths place would be x= (8.65, 0.35)
Step-by-step explanation:
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