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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
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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.
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 2x squared plus x plus 2 equals 0 by completing the square?
It cannot be solved because the discriminant of the quadratic equation is less than zero
What are the methods use in solving quadratic equation?
By using the quadratic equation formula or by completing the square
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.
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.
What square root property is essential to solve any radical equation involving square root?
If you take an equation such as Ax2+ Bx+c=0, you can complete the square and then use the square root property to solve it. That is how we derive the quadratic equation. For example, x2+2x-9=0 We write this as (x+1)2=10 bu completing the square then the square root property tell us that x+1 is PLUS OR MINUS Square root of 10
