What is a discriminant in quadratic formula?

The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.

What is discriminant and example?

The quadratic formula in terms of the discriminant is: x = −b±√D2a − b ± D 2 a . Example: Find the discriminant of the quadratic equation 2x² - 3x + 8 = 0. Comparing the equation with ax² + bx + c = 0, we get a = 2, b = -3, and c = 8. So the discriminant is, Δ OR D = b² − 4ac = (-3)² - 4(2)(8) = 9 - 64 = -55.

What does it mean if the discriminant is?

The discriminant is the term underneath the square root in the quadratic formula and tells us the number of solutions to a quadratic equation. If the discriminant is positive, we know that we have 2 solutions. If it is negative, there are no solutions and if the discriminant is equal to zero, we have one solution.

What happens when 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.

What is the discriminant of 2x2 6x 3 0?

iii) 2x² - 6x + 3 = 0. b² - 4ac is called the discriminant of the quadratic equation and we can decide whether the real roots exist or not based on the value of the discriminant. Hence the equation has no real roots. Hence the equation has two equal real roots.

How To Determine The Discriminant of a Quadratic Equation

What is the discriminant of the quadratic equation 3 4x 6x2?

The given quadratic equation is 3 - 4x = -6x². The standard quadratic equation is the form ax² + bx + c= 0. Therefore, the discriminant of the quadratic equation 3 - 4x = -6x² is - 56.

What is the discriminant of the quadratic equation 0 2x2 3x 5?

Summary: The discriminant of the quadratic equation 2x² + 3x - 5 = 0 is 49.

What does it mean if the discriminant is greater than 0?

If the discriminant is greater than zero, this means that the quadratic equation has two real, distinct (different) roots. x² - 5x + 2. If the discriminant is greater than zero, this means that the quadratic equation has no real roots.

What is the discriminant of the quadratic equation 2x 5x2 1?

The discriminant of the quadratic equation 2x + 5x² = 1 is 24.

What is the discriminant of the quadratic equation 0 =- x2 4x 2?

The discriminant of the quadratic equation -x² + 4x - 2 = 0 is 8.

Which of the following describes the discriminant of the equation x2 3x 5 0?

1 Answer. George C. Its discriminant Δ is 29 , which means that x2−3x−5=0 has two distinct real solutions. Since 29 is not a perfect square, those solutions are irrational.

What is the value of discriminant?

If the discriminant value is positive, the quadratic equation has two real and distinct solutions. 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.

What is the value of discriminant for the quadratic equation x2 2x 3 0?

Answer. The value of discriminant is -16.

What are the solutions to the quadratic equation 0 3x2 4x 5?

Summary: In the simplest radical form, the solutions to the quadratic equation 0 = -3x² - 4x + 5 are x₁ = -(2 -√19)/3 or x₂ = -(2 +√19)/3.

What is the nature of roots of the quadratic equation 2x2 √ 5x 1 0?

Hence, the roots of the quadratic equation 2x² – √5x + 1 = 0 are imaginary.

What are the roots of the quadratic equation 2x 2 6?

Hence, 2 and -3/2 are the roots of the given equation.

What will be the nature of the roots of quadratic equation 2x2 6x 3 0?

As b² – 4ac > 0, Hence, there are distinct real roots exist for this equation, 2x² – 6x + 3 = 0.

What happens if discriminant is negative?

If the discriminant is negative, that means there is a negative number under the square root in the quadratic formula. You may have learned in the past that you "can't take the square root of a negative number." The truth is that you can take the square root of a negative number, but the answer is not real.

How many roots if discriminant is negative?

If the discriminant is: Positive, you have 2 real roots. Zero, you have 1 real root. Negative, you have 0 real roots(no solution).

What is the discriminant of the quadratic equation x² 50 )= 2 5x 3?

question. Answer: Discriminant of the quadratic equation is D=-124.

Which of the following is the value of the discriminant for √ 2x2 5x+ √ 2 0?

Answer. the value of discriminant is 17.