Table of Contents
What is the discriminant of x2 2x 4 0?
Therefore, the discriminant of the equation is -12.
What is the discriminant equal to 0?
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.
What is the discriminant of 4×2 4x 1 0?
Therefore the discriminant of a given equation is 0. Here the discriminant is equal to 0 i.e. b2−4ac=0 , hence there is only one real root.
What is the discriminant of x2?
8
The discriminant of x2−2=0 is 8, which means there are 2 Real solutions to this equation.
What is a discriminant formula?
The discriminant is the formula b squared minus 4ac remembering that a, b and c are the coefficients of your quadratic in standard form. It tells you the number of solutions to a quadratic equation. If the discriminant is greater than zero, there are two solutions.
What is discriminant in math?
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 nature of roots of 4×2 4x 1 0?
Hence it is real and equal roots.
What is the nature of roots of x² 4x 4 0?
Answer Expert Verified. Real and equal. I hope this helps you.
What is the discriminant of x2 1 0?
-3
The discriminant is -3.
What is the discriminant of x2 2x 1 0?
Explanation: D = 4 – 4 = 0. This means there is a double root at x = – 1 .
Which is the correct formula for the discriminant algebra?
The discriminant indicated normally by Δ, is a part of the quadratic formula used to solve second degree equations. 3) Δ < 0 no real solutions. Δ = b2 − 4ac = 1 +4 ⋅ 2 = 9 > 0, giving 2 real distinct solutions. The discriminant can also come in handy when attempting to factorize quadratics.
Is the discriminant in a quadratic equation zero?
Since the discriminant is zero, there should be 1 real solution to this equation. Below is a picture representing the graph and the one solution of y = x 2 + 2 x + 1 . Calculate the discriminant to determine the number and nature of the solutions of the following quadratic equation: ² y = x ² − 2 x + 1 .
When to use the discriminant to find a solution?
3) Δ < 0 no real solutions. Δ = b2 − 4ac = 1 +4 ⋅ 2 = 9 > 0, giving 2 real distinct solutions. The discriminant can also come in handy when attempting to factorize quadratics. If Δ is a square number, then the quadratic will factorize, (since the square root in the quadratic formula will be rational).
What happens when the discriminant is a positive number?
If the discriminant is a positive number, then there are 2 real solutions. This means that the graph of the parabola interepts the x-axis at 2 distinct points . If the discriminant is positive and also a perfect square like 64, then there are 2 real rational solutions.