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

you would use quotation marks to punctuate the title of
what might africans have trade to people in the 13 colonies in exchange for iron products? a)iron products b)rum c)sugar d)gold
what is the slope of a line that is perpendicular to the line 2y – 3x = 8?
since sugar comes from food, which system would directly affect blood sugar levels? respiratory muscular skeletal digestive
what is the slope of the line that contains the points (0,7) and (8,-3)
What are the next three terms of the geometric sequence 4, 24, 144, . . . ?
solve x2 6x = 7 by completing the square. what is the solution set of the equation?
The most dramatic example of the influence of the Byzantine Empire occurred 1) when the Rus made Constantinople a trading partner with Kiev. 2)St. Basil’s Cath
Difference between diary keeping and record keeping
When was gogle created