Respuesta :
Answer: c. x equals plus or minus square root of 18 minus 3
Step-by-step explanation:
1. x^2+6x+(6/2)^2=9+(6/2)^2
2. (x+6/2)^2=18
3. (x+3)^2=18
Answer: x= plus or minus root 18 minus 3
Simplified would be x plus or minus 3 root 2 minus 3
Solving we get that option (c) that is x= plus or minus root 18 minus 3 is correct.
Completing the Square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square.
The steps of the method are as follows :
]Isolate the number or variable c to the right side of the equation. Divide all terms by a (the coefficient of x2, unless x2 has no coefficient). Divide coefficient b by two and then square it. Add this value to both sides of the equation.
How to Solve x2 + 6x = 9 for x by completing the square?
1). x^2+6x+(6/2)^2 =9+(6/2)^2
2).(x+6/2)^2=18
3). (x+3)^2=18.
Learn more about completing the square on : https://brainly.com/question/13981588
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