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Put the equation in the form ax2 + bx + c = 0. Replace a, b, and c in the quadratic formula: x = (-b (plus-or-minus) root(b2 - 4ac)) / 2a. Look at the term under the radical sign, which I wrote as "root" here. If b2 - 4ac is...

  • Positive: the equation has two real solutions.
  • Zero: the equation has one ("double") solution.
  • Negative: the equation has two complex solutions (and therefore no real solution).
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Q: How do you determine the number of real solutions to a quadratic equation?
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Related questions

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.


In general how many distinct solutions are there to a quadratic equation?

the maximum number of solutions to a quadratic equation is 2. However, usually there is only 1.


What is the discriminant to determine how many real number solutions the quadratic equation -4j2 plus 3j-28 equals 0 has?

The discriminant is -439 and so there are no real solutions.


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.


Use the discriminant to determine how many real number solutions the quadratic equation -4j to the second power plus 3j - 28 equals 0 has?

It has 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.


Can a graph be used to determine the number of solutions an equation has?

Yes.


What is the quadratic equation of x2 equals -11 using the complex number system?

13


How many solution will there be if the quadratic equation does not touch or cross the x-axis?

0 real solutions. There are other solutions in the complex planes (with i, the imaginary number), but there are no real solutions.


How do you determine the number of solutions of an equation?

the maximum number of solutions to an euation is equal to the highest power expressed in the equation. 2x^2=whatever will have 2 answers


What is true of the discriminant when the two real number solutions to a quadratic equation are rational numbers?

The discriminant must be a perfect square or a square of a rational number.


What is the number called under the square root when the number is negative in the quadratic equation?

The term inside the square root symbol is called the radicand. There isn't a specific term for it based on its sign; whether it's positive or negative, it's still the radicand.I'm a little confused by your reference to the quadratic equation.If the radicand is negative, the root is an imaginary number, though that doesn't specifically have anything to do with the quadratic equation in particular.If the quantity b2 - 4ac is negative in the quadratic equation, the root of the quadratic equation is either complex or imaginary depending on whether or not b is zero.---------------------------Thank you to whoever answered this first; you saved me a bit of trouble explaining this to the asker :)However, in the quadractic equation, the number under the radical is called the discriminant. This determines the number of solutions of the quadratic. If the radicand is negative, this means that there are no real solutions to the equation.