To complete the square, divide the coefficient of the x term by 2, put this in the square and subtract it squared (at the end) to keep the value the same.
For x2 - x - c:
and the equation becomes:
x2 - x - c = (x - 1/2)2 -1/4 - c
And if the equation equals 0, then the equation can be solved:
x2 - x - c = 0
⇒ (x - 1/2)2 -1/4 - c = 0
⇒ (x - 1/2)2 = 1/4 + c
⇒ x - 1/2 = ±√(1/4 + c)
⇒ x = 1/2 ± √(1/4 + c)
So:
If you aren't dealing with algebra, such as x2+3x+21, then completing the square wont be able to solve the porblem, however if you are using algebra, and you cannot factorise, then completing the square will always work
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.
This quadratic equation has no solutions because the discriminant is less than zero.
Four? Factoring Graphing Quadratic Equation Completing the Square There may be more, but there's at least four.
Please do not remove this question from Inappropriate or split any alts from it. Thanks!
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.
i want to solve few questions of completing square method can u give me some questions on it
Completing the square is a method used to solve a quadratic function. This is a handy method when there are two instances of the same variable in the function.
The related link "Purple Math" has an in depth explanation.
If you aren't dealing with algebra, such as x2+3x+21, then completing the square wont be able to solve the porblem, however if you are using algebra, and you cannot factorise, then completing the square will always work
the problem is not proper to slove. I just want to suggest to follow the related link that explains the concept of completing the square clearly.
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.
Yes, it won't be exact, but you can round the number to get a close estimate.
The first step would be to find the equation that you are trying to solve!
w^2 +/- 28w - 1 is an expression, not an equation. Expressions do not have solutions.
No because the discriminant of the given quadratic expression is less than zero.
Divide all terms by 3 so:- x2-4x = 5 Completing the square:- (x-2)2 = 9 x-2 = -/+3 x = -1 or x = 5