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Not sure what you mean by "zero element". If an expression is equal to zero, and you can factor it, then at least one of the factors must be zero; this is often useful to solve an equation.
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What is the discriminant and how is it used to solve equations using the quadratic formula?
It is not to solve so much as to see the number of solutions and whether there is a real solution to the equation. b2 - 4(a)(c) A positive answer = two real solutions. A negative answer = no real solution ( complex solution i ) If zero as the answer there is one real solution.
Is x equals 0 no solution?
Zero is an acceptable value for a variable. As a general rule, if you solve an equation and get x equals zero, that's just what it is: zero. There is one solution. Example: 10x +1 = 5x +1 5x = 1 - 1 5x = 0 x = 0 There is one solution, zero. If you solve for x and get two solutions, such as 2 and 0, there are two answers. Later on, if you've studied domain and range (the numbers you can use for x so that the equation is still defined, (i.e. not 1/0, or the square root of negative 1), you may find that x = 0 does not always work. You need to check first, to see if zero is in the domain, before you say it's an answer.
Which property would you use to solve the equation f divided by 3 equals zero point two seven for f?
Multiplication:- If: f/3 = 0.27 Then by multiplying both sides by 3: f = 0.81
Where does a function equal zero?
If you set a function equal to zero and solve for x, then you are finding where the function crosses the x-axis.
What is the difference between a homogeneous and a non-homogeneous differential equation?
Homogeneous differential equations have all terms involving the dependent variable and its derivatives, while non-homogeneous equations include additional terms independent of the dependent variable.
How do you find for the zero of a linear function?
If it is a linear function, it is quite easy to solve the equation explicitly, using standard methods of equation-solving. For example, if you have "y" as a function of "x", you would have to solve the variable for "x".
How do you solve x squared minus ten x plus six equals zero?
It can be solved by using the quadratic equation formula.
How do you find the x and y-intercepts without using a graph?
-- Take the equation. -- Say to yourself, "At the x-intercept, y=0". Set 'y' equal to zero, solve the equation for 'x', and you have the x-intercept. -- Take the original equation again. -- Say to yourself, "At the y-intercept, x=0". Set 'x' equal to zero, solve the equation for 'y', and you have the y-intercept.
Why cant the zero product property be used to solve every quadratic equation?
If the discriminant of a quadratic equation is less than zero then it will not have any real roots.
How do you find the y-intercept of the graph of the equation?
Set 'x' equal to zero, and solve the remaining equation for 'y'.
How do you solve 3x squared plus 2x minus 16 is zero?
-- Factor the left side of the equation. -- Set one factor equal to zero, and solve it for 'x'. That gives you one solution to the equation. -- Set the other factor to zero, and solve it for 'x'. That gives you the other solution to the equation. -- If you don't get x=2 and x=-8/3 then repeat the previous steps, because you made a mistake the first time.
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.
Why the multipicative inverse of zero does not exist?
To find the multiplicative inverse, you would have to solve the equation 0 times x = 1. Since any number times 0 is zero, this equation has no solution.
What must be true about a quadratic equation before solve it?
That depends how you plan to solve it - there are several methods. But usually you would start by arranging the equation in "standard form", meaning that on the right of the equal sign, you only have zero.
How does factoring help solve quadratic equations?
Well, that's one method to solve the quadratic equation. Here is an example (using the symbol "^" for power): solve x^2 - 5x + 6 = 0 Step 1: Convert the equation to a form in which the right side is equal to zero. (Already done in this example.) Step 2: Factor the left side. In this case, (x - 3) (x - 2) = 0 Step 3: Use the fact that if a product is zero, at least one of its factors must be zero. This lets you convert the equation to two equations; x - 3 = 0 OR x - 2 = 0 Step 4: Solve each of the two equations.
How do you find the x intercept on a linear equation?
At the x-intercept on the graph of the equation, y=0. Take the equation, set 'y' equal to zero, and solve the equation for 'x'. The number you get is the x-intercept.
Can you solve 3x2-x equals -1?
Set the equation equal to zero. 3x2 - x = -1 3x2 - x + 1 = 0 The equation is quadratic, but can not be factored. Use the quadratic equation.
