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Consider the equation y = x2 + 6x - 2
This is similar to the expression (x+3)2.
(x+3)2 = x2 + 6x + 9
Therefore y = (x + 3)2 - 11
The 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 = 0
Add 11 to both sides: (x+3)2 = 11
Square 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
What else can I help you with?
Name four ways to solve a quadraic equation?
Four? Factoring Graphing Quadratic Equation Completing the Square There may be more, but there's at least four.
Why is the completing the square method call completing the square?
The method is called "completing the square" because it involves rearranging a quadratic equation into a perfect square trinomial. This process allows us to express the quadratic in the form ((x - p)^2 = q), where (p) and (q) are constants. By completing the square, we can easily solve for the variable and analyze the properties of the quadratic function, such as its vertex.
Solve by completing square 2x² - 6x plus 7 equals 0?
This quadratic equation has no solutions because the discriminant is less than zero.
What is the third step in solving this equation by completing the square?
Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by several methods including factoring, graphing, using the square roots or the quadratic formula. Completing the square will always work when solving quadratic equations and is a good tool to have. Solving a quadratic equation by completing the square is used in a lot of word problems.I want you to follow the related link that explains the concept of completing the square clearly and gives some examples. that video is from brightstorm.
How do you solve a square root equation?
To solve a square root equation, first isolate the square root term on one side of the equation. Then, square both sides to eliminate the square root. After squaring, solve the resulting equation for the variable. Finally, check your solutions to ensure they are valid, as squaring can introduce extraneous solutions.
What is the first step in solving this equation by completing the square?
The first step would be to find the equation that you are trying to solve!
Solve by completing the square 6xsubscript2 -2x 10?
I couldn't answer the question because the question is not proper to slove. I just want you to follow the related link that explains how to solve the equation by completing the square.
How can you use the 'completing the square' method to solve an equation when the coefficient of x squared is more than 1?
i want to solve few questions of completing square method can u give me some questions on it
Can you solve a quadratic equation by completing the square even though it is not a perfect square?
Yes, it won't be exact, but you can round the number to get a close estimate.
How do you Solve by completing the square of w2 28w -1?
w^2 +/- 28w - 1 is an expression, not an equation. Expressions do not have solutions.
Name four ways to solve a quadraic equation?
Four? Factoring Graphing Quadratic Equation Completing the Square There may be more, but there's at least four.
Why is the completing the square method call completing the square?
The method is called "completing the square" because it involves rearranging a quadratic equation into a perfect square trinomial. This process allows us to express the quadratic in the form ((x - p)^2 = q), where (p) and (q) are constants. By completing the square, we can easily solve for the variable and analyze the properties of the quadratic function, such as its vertex.
What equation results from completing the square and then factoring?
A quadratic equation
Solve by completing square 2x² - 6x plus 7 equals 0?
This quadratic equation has no solutions because the discriminant is less than zero.
Can all quadratics be solved by completing the square?
Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by factoring, using the square roots or quadratic formula. Solving quadratic equations by completing the square will always work when solving quadratic equations-You can also use division or even simply take a GCF, set the quantities( ) equal to zero, and subtract or add to solve for the variable
What is an equation that can be used in quadratic formula completing the square and factoring?
A quadratic equation.
What is the third step in solving this equation by completing the square?
Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by several methods including factoring, graphing, using the square roots or the quadratic formula. Completing the square will always work when solving quadratic equations and is a good tool to have. Solving a quadratic equation by completing the square is used in a lot of word problems.I want you to follow the related link that explains the concept of completing the square clearly and gives some examples. that video is from brightstorm.
