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There are two kinds of incomplete quadratic equations:
1) ax2+bx=0 (e.g. 4x2+2x=0)
2) ax2+c=0 (e.g. 5x2-125=0)
And the ways to solve them are as follows:
Type 1) For example, 4x2+2x=0.
You take out x (and a number multiplying it, if possible:)
2x(2x+1)=0
In order for the equation to be correct, then either the outcome of the brackets (2x+1) or the number multiplying them (2x) needs to be zero:
2x+1=0
2x=-1
x1=-0.5
2x=0
x2=0
So the two solutions are -0.5 and 0. This also works if you take out only x:
x(4x+2)=0
4x+2=0
4x=-2
x1=-0.5
x2=0
Type 2) For example, 5x2-125=0. This type of incomplete quadratic equation can be solved like a regular equation, as follows:
5x2-125=0
5x2=125
x2=25
x=±5 (x1=5, x2=-5)
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What are the steps to solving a quadratic equation?
In general, there are two steps in solving a given quadratic equation in standard form ax^2 + bx + c = 0. If a = 1, the process is much simpler. The first step is making sure that the equation can be factored? How? In general, it is hard to know in advance if a quadratic equation is factorable. I suggest that you use first the new Diagonal Sum Method to solve the equation. It is fast and convenient and can directly give the 2 roots in the form of 2 fractions. without having to factor the equation. If this method fails, then you can conclude that the equation is not factorable, and consequently, the quadratic formula must be used. See book titled:" New methods for solving quadratic equations and inequalities" (Trafford Publishing 2009) The second step is solving the equation by the quadratic formula. This book also introduces a new improved quadratic formula, that is easier to remember by relating the formula to the x-intercepts with the parabola graph of the quadratic function.
What are the first two steps in solving the radical equation square root of x-6 plus 512?
There is no equality symbol in the question and so no equation!
What are the five steps of the logical plan used in solving word problems?
The answer is....... 1. read the problem 2. determine the unknowns and represent them 3. write an equation 4. solve the equation 5. answer the question
What is another example of the five steps in solving rational equation?
"another" implies that you already have one example. In order to answer the question it might just help to know what that is.
What are the steps for solving a equations?
To solve an equation you would have to follow P.E.M.D.A.S. which leads to the answer. P- parenthesis E- exponents M-multiplication D-division A-addiction S-subtraction
What are the four steps for solving a quadratic equation?
The 1st step would have been to show a particular quadratic equation in question.
What are the steps to solving a quadratic equation?
In general, there are two steps in solving a given quadratic equation in standard form ax^2 + bx + c = 0. If a = 1, the process is much simpler. The first step is making sure that the equation can be factored? How? In general, it is hard to know in advance if a quadratic equation is factorable. I suggest that you use first the new Diagonal Sum Method to solve the equation. It is fast and convenient and can directly give the 2 roots in the form of 2 fractions. without having to factor the equation. If this method fails, then you can conclude that the equation is not factorable, and consequently, the quadratic formula must be used. See book titled:" New methods for solving quadratic equations and inequalities" (Trafford Publishing 2009) The second step is solving the equation by the quadratic formula. This book also introduces a new improved quadratic formula, that is easier to remember by relating the formula to the x-intercepts with the parabola graph of the quadratic function.
What are the steps for the quadratic formula?
Put the quadratic equation into standard form; identify the coefficients (a, b, c), replace them in the equation, do the calculations.
What are the 4 steps to solving an equation?
The 1st step would be to give an example of the equation to be solved.
What are the different steps in solvingradical equation?
The first step is produce the radical equation that needs solving.
What are the 4 methods to solve a quadratic equation?
You can solve a quadratic equation 4 different ways. graphing, which is quick but not reliable, factoring, completing the square and using the quadratic formula. There is a new fifth method, called Diagonal Sum Method, that can quickly and directly give the 2 roots in the form of 2 fractions, without having to factor the equation. It is fast, convenient, and is applicable whenever the equation can be factored. Finally, you can proceed solving in 2 steps any given quadratic equation in standard form. If a=1, solving the equation is much simpler. First, you always solve the equation in standard form by using the Diagonal Sum Method. If it fails to find answer, then you can positively conclude that the equation is not factorable, and consequently, the quadratic formula must be used. In the second step, solve the equation by using the quadratic formula.
What are the first four steps in the derivation of the quadratic formula of ax2 plus bx plus c equals 0?
The first step is to show an example of the quadratic equation in question because the formula given is only the general form of a quadratic equation.
How do you solve quadratic equations by factoring?
There is a new method, called Diagonal Sum Method, that quickly and directly give the 2 roots without having to factor the equation. The innovative concept of this method is finding 2 fractions knowing their sum (-b/a) and their product (c/a). It is fast, convenient and is applicable to any quadratic equation in standard form ax^2 + bx + c = 0, whenever it can be factored. If it fails to find answer, then the equation is not factorable, and consequently, the quadratic formula must be used. So, I advise you to proceed solving any quadratic equation in 2 steps. First, find out if the equation can be factored? How?. Use this new method to solve it. It usually takes fewer than 3 trials. If its fails then use the quadratic formula to solve it in the second step. See book titled:" New methods for solving quadratic equations and inequalities" (Trafford Publishing 2009)
Can the five steps for solving rational equation be eliminated?
no. an individual step might be, but not all.
How do you factor any equation?
That depends on the equation; you need to give some examples of what you want factored. There are four steps to solving an equation. Should any other factors be accounted for when solving an equation? Should any factors be accounted for when explaining how to solve an equation?
Can any steps to solving a rational equation be eliminated?
Yes, but it depends on your mathematical skills and confidence.
What are the steps on solving equations?
The answer will depend very much on the nature of the equation. The steps required for a one-step equation are very different from the steps required for a partial differential equation. For some equations there are no straightforward analytical methods of solution: only numerical methods.
