The roots of any quadratic equation can be found by either method. Which of the two you use may depend on nothing more than your preferences (or exam instructions!). There is never a need to use both methods since if you have used one you have the answer so why bother with the other.
It comes from completing the square of a general quadratic. Many people believe Brahmagupta first solved this in 628 AD.
The discriminant
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.
A quadratic equation normally has 2 solutions and can be solved by using the quadratic equation formula.
Yes
It comes from completing the square of a general quadratic. Many people believe Brahmagupta first solved this in 628 AD.
A quadratic equation can be solved by completing the square which gives more information about the properties of the parabola than with the quadratic equation formula.
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
The quadratic formula is used to solve the quadratic equation. Many equations in which the variable is squared can be written as a quadratic equation, and then solved with the quadratic formula.
The discriminant
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.
When an equation cannot be solved for "x" to find the zeroes, the quadratic formula can be used instead for the same purpose.
A quadratic equation normally has 2 solutions and can be solved by using the quadratic equation formula.
Yes
If you mean 3x2+4x-2 = 0 then it can be solved by means of the quadratic equation formulla
Yes, however not all quadratic equations can easily be solved by factoring, sometimes you can factor and sometimes it is easier to use the quadratic formula. Example: x2 + 4x + 4 This can be easily factored to (x + 2)(x +2) Therefore the answer is -2 by setting x +2 = 0 and solving for x This can be done using the quadratic equation and you would get the same results, however, it was much faster to factor instead.
It can be solved by using the quadratic equation formula.