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Answered 2011-05-14 14:36:38

That the discriminant of the quadratic equation must be greater or equal to zero for it to have solutions.

If the discriminant is less than zero then the quadratic equation will have no solutions.

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Related Questions

What is equadtratic equation?

A quadratic equation normally has 2 solutions and can be solved by using the quadratic equation formula.

What is the difference between quadratic formula and quadratic equation?

There are an infinite number of different quadratic equations. The quadratic formula is a single formula that can be used to find the pair of solutions to every quadratic equation.

Why do mathmaticians use the quadratic formula?

To find the roots (solutions) of a quadratic equation.

How many real solutions can the quadratic formula give?

A quadratic equation can have either two real solutions or no real solutions.

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 9x2 equals 10x plus 2?

It is a quadratic equation and its solutions can be found by using the quadratic equation formula.

What is the quadriatic formula used for?

To find the solutions of x in a quadratic equation.

What happens in the quadratic formula that yields no real solutions?

If the discriminant of b2-4ac in the quadratic equation formula is less than zero then the equation will have no real roots.

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 is the quadratic formula for?

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.

Why does the discriminant determine the number and type of the solutions for a quadratic equation?

A quadratic equation is wholly defined by its coefficients. The solutions or roots of the quadratic can, therefore, be determined by a function of these coefficients - and this function called the quadratic formula. Within this function, there is one part that specifically determines the number and types of solutions it is therefore called the discriminant: it discriminates between the different types of solutions.

What is the formula of a quadratic equation?

The quadratic equation in standard form is: ax2 + bx + c = 0. The solution is x = [-b ± √b2- 4ac)] ÷ 2a You can use either plus or minus - a quadratic equation may have two solutions.

How do you factor x2-4x-80 equals 0?

Use the quadratic equation formula to find the solutions to this equation.

Can the answer to a quadratic equation be a decimal?

Yes. You can calculate the two roots of a quadratic equation by using the quadratic formula, and because there are square roots on the quadratic formula, and if the radicand is not a perfect square, so the answer to that equation has decimal.

What are the solution to the quadratic equation below 12x2 plus 4x-50?

Without an equality sign the given expression can't be considered to be an equation but if it equals 0 then using the quadratic equation formula will give its solutions.

What are the solutions to the equation 2x2 plus 3x-50?

Without an equality sign the given quadratic expression can't be classed as an equation but knowing how to use the quadratic equation formula would be helpful when given such problems.

What is the average of the two soultions for the quadratic equation?

Replace the discriminant (the root) in the quadratic formula with zero - that will give you the average. In other words: (average of solutions) = -b/2a.

When do you use the Quadratic Formula in math?

you use the quadratic formula in math when the quadratic equation you are solving cannot be factored.

When solving a quadratic equation by factoring what method is used?

Using the quadratic equation formula is a method of solving quadratic equations.

How do you make a table of values for a quadratic equation?

Simply learn and use the quadratic equation formula.

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