Table of Contents
Which discriminant has no real roots?
If the discriminant of a quadratic function is less than zero, that function has no real roots, and the parabola it represents does not intersect the x-axis.
Which equation has real roots?
A quadratic equation has real roots when the discriminant is positive or zero (not negative). From an algebra standpoint, this means b2 >= 4ac. Visually, this means the graph of the quadratic (a parabola) touches the x axis at least once.
Which equation has no real roots?
Solution: A quadratic equation ax2 + bx + c = 0 has no real roots if discriminant < 0. Hence option A is the answer.
What means real root?
Explanation: Given an equation in a single variable, a root is a value that can be substituted for the variable in order that the equation holds. In other words it is a “solution” of the equation. It is called a real root if it is also a real number.
What are real roots of a function?
To find the real roots of a function, find where the function intersects the x-axis. To find where the function intersects the x-axis, set f(x)=0 and solve the equation for x.
Has real roots meaning?
If an equation has real roots, then the solutions or roots of the equation belongs to the set of real numbers. If the equation has distinct roots, then we say that all the solutions or roots of the equations are not equal. When a quadratic equation has a discriminant greater than 0, then it has real and distinct roots.
What is the relationship between discriminant and roots?
The relationship between discriminant and roots can be understood from the following cases – Then, the roots of the quadratic equation are real and unequal. Then, the roots of the quadratic equation are real and equal. Then, the roots of the quadratic equation are not real and unequal.
What is the root of discriminant quadratic function?
This root pertains to the value represented by ‘x’. What is Discriminant Quadratic Function? Within this quadratic formula, the discriminant function is found under a quadratic formula. It is represented as b²-4ac and the discriminant can be zero or positive or negative.
How do you know if the discriminant is greater than 0?
When the discriminant is greater than 0, there are two distinct real roots. When the discriminant is equal to 0, there is exactly one real root. When the discriminant is less than zero, there are no real roots, but there are exactly two distinct imaginary roots.
How do you find the discriminant of an equation?
This value of x is the one distinct real root of the given equation. Use the formula b 2 – 4ac to find the discriminant of the following equation: x 2 + 5x + 4 = 0. Then state how many roots it has, and whether they are real or imaginary.