Question

Given is the polynomial f of xx^2+ px+q, where p,q are arbitrary real numbers. The zeros of a function d of x are defined as the values x0 for which f of x0 is 0. For which values of fx does it have a zero?

61

likes
303 views

Answer to a math question Given is the polynomial f of xx^2+ px+q, where p,q are arbitrary real numbers. The zeros of a function d of x are defined as the values x0 for which f of x0 is 0. For which values of fx does it have a zero?

Expert avatar
Corbin
4.6
107 Answers
1. Gegeben ist die quadratische Funktion f(x) = x^2 + px + q.
2. Die Nullstellen einer Funktion finden wir, indem wir f(x) = 0 setzen: x^2 + px + q = 0.
3. Die quadratische Gleichung hat reale Lösungen, wenn die Diskriminante \Delta = p^2 - 4q \geq 0 ist.
4. Daher existieren reelle Nullstellen der Funktion f(x) für die Werte von x, wenn p^2 - 4q \geq 0 gilt.

Frequently asked questions (FAQs)
What is the length of the perpendicular bisector of a triangle with side lengths 10 cm, 12 cm, and 15 cm?
+
What are the characteristics of the quadratic function f(x) = x^2? How does the graph of this quadratic function look like? What are the axis of symmetry, vertex coordinates, and y-intercept? How would the graph be affected if the coefficient of x^2 were negative instead of positive?
+
Math question: What is the integral of the square root of x with respect to x?
+
New questions in Mathematics
How much volume of water in MegaLiters (ML) is required to irrigate 30 Hectare crop area with depth of 20mm?
Calculate the 6th term of PA whose 1st term is 6.5 and the ratio 5
what is 9% of 307
Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]
A soft drink machine outputs a mean of 23 ounces per cup. The machines output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 26 and 28 ounces round your answer to four decimal places
Divide 22 by 5 solve it by array and an area model
7/6-(-1/9)
A regional candy factory sells a guava roll at a price of $48, the monthly fixed costs amount to $125,000 and the variable cost for making a guava roll is $28. Determine: a) The equation of the total income from the production of guava rolls.
The average number of babies born at a hospital is 6 per hour. What is the probability that three babies are born during a particular 1 hour period?
If X1 and X2 are independent standard normal variables, find P(X1^2 + X2^2 > 2.41)
Convert 5/9 to a decimal
On+January+10+2023+the+CONSTRUCTORA+DEL+ORIENTE+SAC+company+acquires+land+to+develop+a+real estate+project%2C+which+prev%C3% A9+enable+50+lots+for+commercial+use+valued+in+S%2F+50%2C000.00+each+one%2C+the+company+has+as+a+business+model+generate+ cash+flow+through%C3%A9s+of+the+rental%2C+so+47%2C+of+the+50+enabled+lots+are+planned to lease+47%2C+and+ the+rest+will be%C3%A1n+used+by+the+company+for+management%C3%B3n+and+land+control
A,B,C and D are the corners of a rectangular building. Find the lengths the diagonals if AB measures 38' - 9" and AD measures 56' - 3"
A 20,000 kg school bus is moving at 30 km per hour on a straight road. At that moment, it applies the brakes until it comes to a complete stop after 15 seconds. Calculate the acceleration and the force acting on the body.
What is the total amount due and the amount of interest on a 3-year loan of $1,000 at a simple interest rate of 12% per year?
The area bounded by the curve y=ln(x) and the lines x=1 and x=4 above the x−axis is
The inner radius of a spherical ball is 13 cm. How many liters of air are in it? Justify your answer!
A nondegenerate ideal gas of diatomic molecules with a kilomolar mass of 2 kg/kmol and a characteristic rotational temperature of 86 K is adsorbed on the walls of a container, where the binding energy is 0.02 eV. The adsorbed molecules move freely on the walls, and their rotation is confined to the plane of the walls. Calculate the surface density of adsorbed molecules at 12 K if the gas pressure is 103 Pa! What result would you get at 68 K and the same pressure?
Convert (324)𝑓𝑖𝑣𝑒 into base-ten
A grain silo has a height of 8.8m with a 11.4m diameter. If it is filled 0.5% of it's volume, how much grain (m^3) is stored in the silo? (0 decimal places)