ahfasahmed2005 ahfasahmed2005
  • 10-06-2019
  • Mathematics
contestada

Find the value of k such that the quadratic polynomials x2-(k+6)x+2(2k+1) as sum of the zeroes as the half of their product

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 10-06-2019

Answer:

  k = 5

Step-by-step explanation:

The sum of the zeros is the opposite of the coefficient of x, so is (k+6).

The product of zeros is the constant term, 2(2k+1), so half their product is (2k+1).

The problem statement asks us to find k so that these values are the same:

  k +6 = 2k +1

  5 = k . . . . . . . . subtract k+1

The value of k is 5.

_____

The zeros are 5.5±√8.25. Their sum is 11; their product is 22.

Answer Link

Otras preguntas

Which document guarantees freedom of speech, freedom of the press, and freedom of religion?
Alicia estimated that the number of horses living in a stable was 26. The actual number of horses living in the stable was 30. What is the percent error in Alic
6 children need to share 5 breakfast bars Divide bars into correct numbers of equal parts then tell the fraction each kid will get
What are six traits of a good scientific observer?
matter can recycle through the biosphere because
X=y+6 X+6y=20 Solving systems of equations using substitution
Which of the following terms is NOT associated with the Persian Empire? Is it... A)Royal Road B)the Immortals C)Cyrus the Great D)the Ishtar Gate
as pigments are added together what happens to the number of colors of light that are reflected
explain why a blanket keeps you warm
Small particles of organic material are called _______.