arpitachhabra2005
arpitachhabra2005 arpitachhabra2005
  • 01-08-2020
  • Mathematics
contestada

2.
The roots of the equation x2-3x - m(m + 3) = 0,
where m is a constant, are
(a) m, m + 3
(b) -m, m + 3
(c) m,- (m+3) (d) -m, -(m + 3)
(AI 2011)​

Respuesta :

MathPhys
MathPhys MathPhys
  • 01-08-2020

Answer:

(b) -m, m + 3

Step-by-step explanation:

x² − 3x − m(m + 3) = 0

x² − 3x = m(m + 3)

x² − 3x + 9/4 = m(m + 3) + 9/4

(x − 3/2)² = m(m + 3) + 9/4

(x − 3/2)² = m² + 3m + 9/4

(x − 3/2)² = (m + 3/2)²

x − 3/2 = ±(m + 3/2)

x − 3/2 = m + 3/2, -m − 3/2

x = m + 3, -m

Answer Link

Otras preguntas

Use the distributive property to express 15+45
What was the reason for the Sugar Act of 1764? To keep the colonists safe To pay for war debts To prevent smuggling To raise funds for the colonies
What problem did socialist thinkers seek to solve?
30 tens - 3tens 3 tents = ?
a shopper bought a 15 pound bag of oranges for $23.25 what was the unit price
Which of the following best defines genomics? A. The study of cellular protein structures B. The study of the genomes of organisms C. A mechanism used in DNA fi
Where and when did the French language start and end?
how many time can 21 go into 6
Ho do you explain why 21/30 is greater than 2/3?
178 rounded to the nearest hundred