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What is An equation that is true for NO values of the variable.?

It is an equation which is insoluble in its domain. However, it may be soluble in a bigger domain.For example, x2 = 2 has no solution in the domain of rational numbers but it does in the real numbers, orx2 = -2 has no solution in the domain of real number but it does in imaginary numbers.


What is the best way to estimate the solution of a quadratic equation?

I don't think there is any easy way to estimate it; just use the quadratic equation to calculate the solutions. You can round some of the numbers to get an estimate; in this case you might even do most of the calculation in your head, but it's probably easier just to do the full calculation.


What is an equation that is not true for any value of the variable?

It is an equation with no solutions [in the given domain]. There may (or may not) be solutions if you change the domain.For example, if X is an integer, then 5X = 2 has no solution. But if you change the domain to rational numbers, then X = 2/5 or 0.4 is a solution.


How many solutions to a quardratic equation?

A quadratic equation always has TWO (2) solutions. They may be different, the same, or non-existant as real numbers (ie they only exist as complex numbers).


How can you tell by looking at a graph whee the solutions are in a quadratic equation?

Let's say you have the quadratic equation x2 - 7x + 12 = 0. Plot the graph of y = x2 - 7x + 12. Where y = 0 (when the graph crosses the x-axis) is a solution to the equation. In this case, it crosses at the points (3,0) & (4,0) so the solutions are x = 3 and x = 4. Now if the graph never touches the x-axis, that means the solutions to the equation are complex numbers.

Related Questions

Write a quadratic equation in the variable x having the given numbers as solutions Type the equation in standard form ax2 plus bx plus c equals 0 Solution 7 is the on solution?

0x2 + 1x - 7 = 0


How do you know when a number is not a solution of an equation?

When you put the number in place of the variable (like maybe the 'x' or the 'y') wherever the variable occurs in the equation, and the statement you get out of all the numbers you have is not true, then you know the number is not a solution.


What is A number that makes a equation true?

The solution set is the answers that make an equation true. So I would call it the solution.


What is An equation that is true for NO values of the variable.?

It is an equation which is insoluble in its domain. However, it may be soluble in a bigger domain.For example, x2 = 2 has no solution in the domain of rational numbers but it does in the real numbers, orx2 = -2 has no solution in the domain of real number but it does in imaginary numbers.


How do you find the answer to a quadratic equation from the quadratic formula?

Plug 'a', 'b', and 'c' from the equation into the formula. When you do that, the formula becomes a pair of numbers ... one number when you pick the 'plus' sign, and another number when you pick the 'minus' sign. Those two numbers are the 'solutions' to the quadratic equation you started with.


What are the conditons that are met before you can use the quadratic formula?

Only that the equation that you are trying to solve is a quadratic, that is to say, the powers of the variable are 2,1 and 0 (or any constant increment of these three numbers). Non-negativity of the discriminant is NOT a condition because you can still use the quadratic formula and get roots that are in the complex domain.


What is an equation with no solutions?

DIVIDE BY ZERO ERROR Is an equation with no solution's answer. * * * * * It also depends on the domain of the variable(s). For example x + 3 = 2 has no solution if the domain for x is the counting numbers, Z. x*3 = 2 has no solution if the domain for x is the natural numbers, N. x2 = 2 has no solution if the domain for x is the rational numbers, Q. x2 = -2 has no solution if the domain for x is the real numbers, R.


What is the best way to estimate the solution of a quadratic equation?

I don't think there is any easy way to estimate it; just use the quadratic equation to calculate the solutions. You can round some of the numbers to get an estimate; in this case you might even do most of the calculation in your head, but it's probably easier just to do the full calculation.


What is the solution to the equation y equals -2.5?

The equation y = -2.5 represents a horizontal line on the Cartesian plane passing through the point (-2.5, 0). This line is parallel to the x-axis and has a slope of 0. The solution to this equation is all real numbers on the y-axis that have a value of -2.5.


What statement must be true of an equation before you can use the quadratic formula to find the solutions?

The quadratic formula can be used to find the solutions of a quadratic equation - not a linear or cubic, or non-polynomial equation. The quadratic formula will always provide the solutions to a quadratic equation - whether the solutions are rational, real or complex numbers.


What is the discriminant of an algebra equation?

I am assuming that "an algebra equation" refers to a quadratic equation and not a higher polynomial.For a quadratic equation of the form y = ax^2 + bx + c, where a, b and c are real numbers and a is non-zero, the discriminant is b^2 – 4ac.


What two numbers multiply to be 224 and add up to be a negative 84?

308