A real solution in algebra is simply a solution to an equation that is a real number.
What does a real solution mean?, It is called the Discriminant, because it can “discriminate” between the possible types of answer: when b2 − 4ac is positive, we get two Real solutions. when it is zero we get just ONE real solution (both answers are the same) when it is negative we get a pair of Complex solutions.
Furthermore, Is a negative number a real solution?, This relationship is always true: If you get a negative value inside the square root, then there will be no real number solution, and therefore no x-intercepts. In other words, if the the discriminant (being the expression b2 – 4ac) has a value which is negative, then you won’t have any graphable zeroes.
Finally, What are real and complex solutions?, 1) If the discriminant is less than zero, the equation has two complex solution(s). 2) If the discriminant is equal to zero, the equation has one repeated real solution(s). 3) If the discriminant is greater than zero, the equation has. two distinct real. solution(s).
Frequently Asked Question:
What are real solutions?
A real solution in algebra is simply a solution to an equation that is a real number. For example, the solution to the equation {eq}x + 5 =…
What is a complex solution?
In Algebra 1, you found that certain quadratic equations had negative square roots in their solutions. … When this occurs, the equation has no roots (or zeros) in the set of real numbers. The roots belong to the set of complex numbers, and will be called “complex roots” (or “imaginary roots”).
How do you know if a solution is real?
In the quadratic formula, if the discriminant is greater than or equal to 0, then the solutions to the quadratic equation will be real numbers. If the discriminant is less than 0, the equation has no real solution.
What are two real solutions?
It is called the Discriminant, because it can “discriminate” between the possible types of answer: when b2 − 4ac is positive, we get two Real solutions. when it is zero we get just ONE real solution (both answers are the same) when it is negative we get a pair of Complex solutions.
Can real solutions be negative?
The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation. … A discriminant of zero indicates that the quadratic has a repeated real number solution. A negative discriminant indicates that neither of the solutions are real numbers.
Are negatives real numbers?
This can include whole numbers or integers, fractions, rational numbers and irrational numbers. … Real numbers can be positive or negative, and include the number zero. They are called real numbers because they are not imaginary, which is a different system of numbers.
What is considered a real solution?
A real solution in algebra is simply a solution to an equation that is a real number.
What is not a real solution?
If the discriminant is less than 0, the equation has no real solution. Looking at the graph of a quadratic equation, if the parabola does not cross or intersect the x-axis, then the equation has no real solution. And no real solution does not mean that there is no solution, but that the solutions are not real numbers.
Is a negative number a real solution?
This relationship is always true: If you get a negative value inside the square root, then there will be no real number solution, and therefore no x-intercepts. In other words, if the the discriminant (being the expression b2 – 4ac) has a value which is negative, then you won’t have any graphable zeroes.
What does no real solution mean in math?
No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.
What are real and complex solutions?
1) If the discriminant is less than zero, the equation has two complex solution(s). 2) If the discriminant is equal to zero, the equation has one repeated real solution(s). 3) If the discriminant is greater than zero, the equation has. two distinct real. solution(s).
What are real solutions?
A real solution in algebra is simply a solution to an equation that is a real number. For example, the solution to the equation {eq}x + 5 =…
What is a complex solution?
In Algebra 1, you found that certain quadratic equations had negative square roots in their solutions. … When this occurs, the equation has no roots (or zeros) in the set of real numbers. The roots belong to the set of complex numbers, and will be called “complex roots” (or “imaginary roots”).
How do you know if a solution is real?
In the quadratic formula, if the discriminant is greater than or equal to 0, then the solutions to the quadratic equation will be real numbers. If the discriminant is less than 0, the equation has no real solution.
What are two real solutions?
It is called the Discriminant, because it can “discriminate” between the possible types of answer: when b2 − 4ac is positive, we get two Real solutions. when it is zero we get just ONE real solution (both answers are the same) when it is negative we get a pair of Complex solutions.
What are real solutions in math?
A real solution in algebra is simply a solution to an equation that is a real number.
What does a real solution mean?
It is called the Discriminant, because it can “discriminate” between the possible types of answer: when b2 − 4ac is positive, we get two Real solutions. when it is zero we get just ONE real solution (both answers are the same) when it is negative we get a pair of Complex solutions.