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What else can I help you with?
What equation results from completing the square and then factoring?
A quadratic equation
Can you solve a quadratic equation without factoring?
using the quadratic formula or the graphics calculator. Yes, you can do it another way, by using a new method, called Diagonal Sum Method, that can quickly and directly give the 2 roots, without having to factor the equation. This method is fast, convenient and is applicable to any quadratic equation in standard form ax^2 +bx + c = 0, whenever it can be factored. It requires fewer permutations than the factoring method does, especially when the constants a, b, and c are large numbers. If this method fails to get answer, then consequently, the quadratic formula must be used to solve the given equation. It is a trial-and-error method, same as the factoring method, that usually takes fewer than 3 trials to solve any quadratic equation. See book titled:" New methods for solving quadratic equations and inequalities" (Trafford Publishing 2009)
Which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring?
Here are two ways to know if a given quadratic equations can be factored (can be solved by factoring). 1. Calculate the Discriminant D = b^2 - 4ac. When D is a perfect square (its square root is a whole number), then the given equation can be factored. 2. Solve the equation by using the new Diagonal Sum method (Amazon e-book 2010). This method directly finds the 2 real roots without having to factor the equation. Solving usually requires fewer than 3 trials. If this method fails to get the answer, then we can conclude that the equation can not be factored, and consequently the quadratic formula must be used.
The graph of a quadratic equation is called a?
The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.
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 equation results from completing the square and then factoring?
A quadratic equation
Which the easy way the method of factoring or the solving the quadratic equation?
By knowing how to use the quadratic equation formula.
What part of the a quadratic formula tells you when the quadratic equation can be solved by factoring?
The discriminant
Can a factor pair have an extra addition problem?
Yes and they do in factoring quadratic equations.Yes and they do in factoring quadratic equations.Yes and they do in factoring quadratic equations.Yes and they do in factoring quadratic equations.
What is the solution to the math problem involving the keyword "quadratic equation"?
The solution to a math problem involving a quadratic equation is the values of the variable that make the equation true, typically found using the quadratic formula or factoring.
When must the quadratic formula be used in algebra?
You'll typically use it when solving a quadratic equation - when factoring isn't obvious.
What is the step-by-step procedure for solving a quadratic equation using the keyword "factoring"?
To solve a quadratic equation using factoring, follow these steps: Write the equation in the form ax2 bx c 0. Factor the quadratic expression on the left side of the equation. Set each factor equal to zero and solve for x. Check the solutions by substituting them back into the original equation. The solutions are the values of x that make the equation true.
When solving a quadratic equation by factoring what method is used?
Start with a quadratic equation in the form � � 2 � � � = 0 ax 2 +bx+c=0, where � a, � b, and � c are constants, and � a is not equal to zero ( � ≠ 0 a =0).
What makes a quadratic equation?
When the equation is a polynomial whose highest order (power) is 2. Eg. y= x2 + 2x + 10. Then you can use quadratic formula to solve if factoring is not possible.
How is the quadratic formula related to factoring?
The quadratic formula, given by ( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} ), provides the solutions to a quadratic equation ( ax^2 + bx + c = 0 ). While factoring involves rewriting the quadratic expression as a product of its linear factors, the quadratic formula can be used to find the roots when factoring is difficult or impossible. If the quadratic can be factored, the roots obtained from the quadratic formula will correspond to those factors. Thus, both methods are interconnected ways to solve for the values of ( x ) that satisfy the equation.
What does quadratic equations using the factoring method means?
It means you are required to "solve" a quadratic equation by factorising the quadratic equation into two binomial expressions. Solving means to find the value(s) of the variable for which the expression equals zero.
