A Quadratic Equation Has Exactly One Real Number Solution. Which Is The Value Of Its Discriminant?
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A Quadratic Equation Has Exactly One Real Number Solution. Which Is The Value Of Its Discriminant?
Introduction
A quadratic equation is a special type of algebraic equation that can have either one or two solutions, depending on the value of its discriminant. When this discriminant is equal to zero, there is only one real number solution. But what does this mean? In this blog post, we’ll explore the concept of a quadratic equation’s discriminant and how it affects the number of solutions you get for that particular equation. We will also discuss why it’s important to understand the value of this discriminant in order to correctly solve any given quadratic equation. Read on to learn more!
What Is a Quadratic Equation?
A quadratic equation is a mathematical equation of the form:
ax^2 + bx + c = 0
where a, b, and c are real numbers and x is an unknown variable. The solutions to a quadratic equation are the values of x that make the equation true. In other words, they are the values of x that satisfy the equation.
There are two types of solutions to a quadratic equation: real solutions and complex solutions. Real solutions are the values of x that make the equation true when plugged into the equation. Complex solutions are values of x that make the equation true when squared.
The discriminant of a quadratic equation is the value of its b^2 – 4ac term. This value helps to determine the number and type of solutions to a quadratic equation. If the discriminant is positive, there are two real solutions. If the discriminant is zero, there is one real solution. If the discriminant is negative, there are no real solutions; however, there are two complex conjugate solutions.
What Is the Discriminant of a Quadratic Equation?
The discriminant of a quadratic equation is the value of its discriminant. This value can be positive, negative, or zero. If the discriminant is positive, then the equation has two real number solutions. If the discriminant is negative, then the equation has no real number solution. If the discriminant is zero, then the equation has exactly one real number solution.
How to Find the Value of the Discriminant
The Discriminant is the part of the Quadratic Formula that tells you how many solutions there are to a Quadratic Equation. If the Discriminant is positive, then there are two real solutions. If the Discriminant is zero, then there is only one real solution (but there may be two complex solutions). If the Discriminant is negative, then there are no real solutions. So, to find the value of the Discriminant, just plug in your values for a, b, and c into this formula:
Discriminant = b2 – 4ac
And that’s all there is to it!
Conclusion
To summarize, a quadratic equation has exactly one real number solution. The value of its discriminant is the number that determines whether the solutions are real or imaginary. If the discriminant is positive, then there will be two distinct real solutions; if it is negative, then there will be no real solutions; and if it equals zero, then there will only be one single solution. Understanding this concept can help you solve more complex equations in mathematics with ease.
Are you stumped by the concept of a quadratic equation?
No worries! We’ve got you covered!
A quadratic equation is one of the most fundamental equations in mathematics. It’s used to solve problems in algebra, calculus, and other branches of mathematics. As its name implies, a quadratic equation has an unknown variable raised to the second power.
But did you know that a quadratic equation has exactly one real number solution? This is determined by its discriminant, which is defined as the expression under the square root sign in the quadratic equation.
Now that you know what the discriminant is, you may be wondering what its value is.
The Value of the Discriminant
The value of the discriminant is determined by the coefficients of the quadratic equation. To calculate the value of the discriminant, you must use the following formula:
Discriminant = (b^2) – (4*a*c)
Where ‘a’, ‘b’, and ‘c’ are the coefficients of the quadratic equation.
The discriminant is an incredibly important factor in determining the number of real number solutions that a quadratic equation has. If the discriminant is positive, then the equation has two real number solutions. If the discriminant is zero, then the equation has only one real number solution. And if the discriminant is negative, then the equation has no real number solutions.
So to answer your question, the value of a quadratic equation’s discriminant is determined by its coefficients.
We hope this blog post has been helpful in understanding the concept of a quadratic equation and its discriminant. Good luck on your math exam!