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When the discriminant of quadratic equation is zero it means?

When the discriminant of quadratic equation is zero it means?

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.

What is the discriminant of ax2 bx c 0 when a ≠ 0?

discriminant, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution. In the case of a quadratic equation ax2 + bx + c = 0, the discriminant is b2 − 4ac; for a cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc − 4b3 − 4a3c − 27c2.

What is the discriminant of a quadratic equation ax2 bx c 0 if the roots are 5 and 9?

Incorrect. Remember that in standard form, the equation is written in the form ax2 + bx + c = 0. 3x + x2 = 6 becomes 3x + x2 – 6 = 0, so the standard form is x2 + 3x – 6 = 0. This means the correct answer is a = 1, b = 3, and c = −6….

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x = 1 x = −5
5 = 5 5 = 5

When the discriminant of a given quadratic equation is equal to zero then the roots are?

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. In this case, there is exactly one real root. This value of x is the one distinct real root of the given equation.

When the value of the discriminant is less than 0?

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 of the following is the discriminant of the quadratic equation ax 2 − bx +c 0 where a/b/c are real number and a ≠ 0?

As the value of b2 – 4ac determines the nature of roots (solution), b2 – 4ac is called the discriminant of the quadratic equation….Examine the Roots of a Quadratic Equation.

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Discriminant of ax2 + bx + c = 0 Nature of roots of ax2 + bx + c = 0 Value of the roots of ax2 + bx + c = 0
b2 – 4ac < 0 Not real No real value

What happens when the discriminant is less than zero?

What is discriminant in quadratic equation class 10?

Discriminant. For a quadratic equation of the form ax2+bx+c=0, the expression b2−4ac is called the discriminant, (denoted by D), of the quadratic equation. The discriminant determines the nature of roots of the quadratic equation based on the coefficients of the quadratic equation.

How many solutions if discriminant is less than zero?

one solution
It tells you the number of solutions to a quadratic equation. If the discriminant is greater than zero, there are two solutions. If the discriminant is less than zero, there are no solutions and if the discriminant is equal to zero, there is one solution.

What is the discriminant of ax2 + bx + c?

The Discriminant Formula in the quadratic equation ax 2 + bx + c is. Using the discriminant, the number of roots of a quadratic equation can be determined. A discriminant can be either positive, negative or zero.

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What is the discriminant formula in the quadratic equation?

This formula is used to find out whether the roots of the quadratic equation are real or imaginary. The Discriminant Formula in the quadratic equation ax 2 + bx + c = 0 is. △ = b2 − 4ac.

How do you know if the roots of a quadratic equation are distinct?

.In a quadratic equation ax2 + bx + c = 0, if discriminant is D= b2 – 4ac, then roots of the quadratic equation are Real and equal (i.e., repeated roots), if D = 0. If the D > b² – 4ac then it’s real and distinct.

What does it mean if the discriminant is 0?

If the discriminant value is zero, the quadratic equation has only one solution or two real and equal solutions. If the discriminant value is negative, the quadratic equation has no real solutions. Question 1: What is the discriminant of the equation x 2 – 2x + 3 = 0?