What does the discriminant tell you about the graph?

The discriminant tells you how many solutions there are to quadratic equation or how many x intercepts there are for a parabola.

How does the discriminant relate to a graph?

The discriminant shows you the type and number of solutions of the graph. If b2 – 4ac > 0, the graph has two real solutions. If b2 – 4ac = 0, the graph has one real solution. If b2 – 4ac < 0, the graph has two imaginary solutions.

What does the discriminant tell you about solutions?

Youtube quote:Is. If your discriminant equals a square number so if you do B squared minus four times a times C. And that equals a square number which could be one it could be 4 9 16 25 36 49 64 80 100 right

How do you tell if the discriminant is positive on a graph?

The roots/zeros/solutions are the the values for x that make the equation equal to 0. On a graph, this will be where the parabola crosses the x-axis. Anytime the discriminant is positive, the graph will cross the x-axis twice. The discriminant won’t tell you the actual answers.

How can you use the discriminant when you are graphing a quadratic function?

Youtube quote:Negative B plus or minus the square root of b squared minus 4ac. All divided by 2a. That's how you find the two roots if that equals zero.

How do you use the discriminant to determine the number and types of solutions?

Youtube quote:And you can find out the nature of the roots or the number of solutions that the quadratic formula will have and so the way you would do that is you calculate what b squared minus 4ac is okay.

Why is getting the discriminant important?

The quadratic equation discriminant is important because it tells us the number and type of solutions. This information is helpful because it serves as a double check when solving quadratic equations by any of the four methods (factoring, completing the square, using square roots, and using the quadratic formula).

How do you use the discriminant?

Youtube quote:Using this formula x equals negative b plus or minus the square root of b squared minus 4ac over 2a. The stuff underneath the square root the b squared minus 4ac.

What is discriminant in math example?

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.

How do I find the discriminant?

Youtube quote:B is 6 a is the number in front of X squared that's 1 and C is 9 6 squared 6 times 6 is 36. 4 times 9 is 36. So the discriminant is equal to 0.

What is the discriminant of 76?

The discriminant is 76, which is positive. This means that there are two real solutions.

What is the discriminant of 3×2 10x =- 2?

The discriminant of is 76.

What if the discriminant is zero?

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, we have two real roots. These values of x are the two distinct real roots of the given equation.

What does a discriminant of 0 mean?

If the discriminant is 0, that means you have a 0 under the square root in the quadratic formula. What happens when you have a 0 under a square root? The square root of 0 is just 0. When this happens, the plus or minus part of the quadratic formula essentially just goes away.

What is the discriminant equal to?

For the quadratic equation ax2 + bx + c = 0, the expression b2 – 4ac is called the discriminant. The value of the discriminant shows how many roots f(x) has: – If b2 – 4ac > 0 then the quadratic function has two distinct real roots. – If b2 – 4ac = 0 then the quadratic function has one repeated real root.

How do you find the discriminant of 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.

What is the discriminant of the quadratic equation 3 4x =- 6×2?

-56

The discriminant of the quadratic equation 3 – 4x = -6x2 is -56.

Where is the discriminant of a quadratic equation?

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 the value of the discriminant of the quadratic equation − 1 5×2 − 2x?

What is the value of the discriminant of the quadratic equation -1=5×2-2x , and what does its value mean about the number of real number solutions the equation has? The discriminant is equal to −16, which means the equation has no real number solutions.

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

8

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

What is the discriminant of x2 =- 4x?

The discriminant is zero.

What is the discriminant of the quadratic equation x2 4x 1 0?

Constant term = c = 1. => 12. Hence, Discriminant = 12.