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How do you solve an equation by completing the square? - Answers

Consider the equation y = x2 + 6x - 2This is similar to the expression (x+3)2.(x+3)2 = x2 + 6x + 9Therefore y = (x + 3)2 - 11The key here is that you can always rewrite a quadratic as (x + a)2 - b, where a is half the x coefficient, and b is the number you need to subtract to make up the correct constant.Now to solve the equation when it is equal to 0:(x+3)2 - 11 = 0Add 11 to both sides: (x+3)2 = 11Square root: x + 3 = +-sqrt11 (remember that square rooting always produces a positive answer and a negative answer)Subtract 3: x = -3 + sqrt 11 or -3 - sqrt11



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How do you solve an equation by completing the square? - Answers

https://math.answers.com/math-and-arithmetic/How_do_you_solve_an_equation_by_completing_the_square

Consider the equation y = x2 + 6x - 2This is similar to the expression (x+3)2.(x+3)2 = x2 + 6x + 9Therefore y = (x + 3)2 - 11The key here is that you can always rewrite a quadratic as (x + a)2 - b, where a is half the x coefficient, and b is the number you need to subtract to make up the correct constant.Now to solve the equation when it is equal to 0:(x+3)2 - 11 = 0Add 11 to both sides: (x+3)2 = 11Square root: x + 3 = +-sqrt11 (remember that square rooting always produces a positive answer and a negative answer)Subtract 3: x = -3 + sqrt 11 or -3 - sqrt11



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https://math.answers.com/math-and-arithmetic/How_do_you_solve_an_equation_by_completing_the_square

How do you solve an equation by completing the square? - Answers

Consider the equation y = x2 + 6x - 2This is similar to the expression (x+3)2.(x+3)2 = x2 + 6x + 9Therefore y = (x + 3)2 - 11The key here is that you can always rewrite a quadratic as (x + a)2 - b, where a is half the x coefficient, and b is the number you need to subtract to make up the correct constant.Now to solve the equation when it is equal to 0:(x+3)2 - 11 = 0Add 11 to both sides: (x+3)2 = 11Square root: x + 3 = +-sqrt11 (remember that square rooting always produces a positive answer and a negative answer)Subtract 3: x = -3 + sqrt 11 or -3 - sqrt11

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      Consider the equation y = x2 + 6x - 2This is similar to the expression (x+3)2.(x+3)2 = x2 + 6x + 9Therefore y = (x + 3)2 - 11The key here is that you can always rewrite a quadratic as (x + a)2 - b, where a is half the x coefficient, and b is the number you need to subtract to make up the correct constant.Now to solve the equation when it is equal to 0:(x+3)2 - 11 = 0Add 11 to both sides: (x+3)2 = 11Square root: x + 3 = +-sqrt11 (remember that square rooting always produces a positive answer and a negative answer)Subtract 3: x = -3 + sqrt 11 or -3 - sqrt11

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