leothegamerhk
leothegamerhk leothegamerhk
  • 10-04-2021
  • Mathematics
contestada

if the sum of roots of the quadratic equation x^(2)-3kx-(k+2)=0 is equal to the product of roots,find k

Respuesta :

saraalvi00
saraalvi00 saraalvi00
  • 10-04-2021

Answer:

1/2

Step-by-step explanation:

quadratic equation is ax²+bx+c=0

Products of roots is c/a

Sum of roots is -b/a

On comparing the above equation with general equation we have

a=1

b=-(3k)

c=-(k+2)

Now it is given that sum of roots and product of roots is equal

So,

-b/a=c/a

-b=c

-[-(3k)]=-(k+2)

3k=-k-2

3k+k=-2

4k=-2

k=-1/2

Answer Link

Otras preguntas

8 2/5 x 5 1/2 HELPPPPPP ASAP PLAEASE
What does your liver do and can you live without it?
which ratio is equivalent to 1:5
What is formal structure? A. Structure of legal compliance B. Structure represented by an organizational chart C. Relationships from people working OD. Structur
What is another word for open heart?
Directions: The solutions of a quadratic equation are given below. Give an example of an equation with the given solutions. 22. +-4i 23. +-i√7 24. +-3i√2 25. +-
1. The New England town meeting is significant because
a patient who has been treated for uric acid stones is being discharged from the hospital. what type of diet does the nurse discuss with the patient? high-prote
Which of the following statements must be true if two sides of a triangle are congruent?
Marie and Pierre Curie were scientists who lived in Paris, France. They discovered a new and strange substance. Marie was born in Poland on November 7, 1869. He