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

Prove that the sets u ⊕v = {u + v : u ∈u,v∈v}and uθv = {u − v : u∈u,v∈v} are homometric for any two sets u and v.
hey guys ,meaning of ambling?????
What happens to the volume of water when it freezes?
A computer lab is an example of what type of network
Please help me with this and thank you
____ is a program that disguises itself as an interesting, useful, or desirable program in order to gain access to your system
how do inequalities work
Calculate the amount of heat required to completely sublime 96.0 g of solid dry ice (co2) at its sublimation temperature. the heat of sublimation for carbon dio
You should be extra careful around motorcycles because ______.
The nutrition facts panel on a granola bar reveals that it contains 72 kcal from fat. The total calorie content of the bar is 200 kcal. What percentage of the t