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

can i please get help with this
How does the graph of g(x) = (x + 4)^3-6 compare to the parent function f(x)=x^3 Choices:
An empty elevator weighing 100 kgs, stops at the third -level of a building and got 3 passengers weighing 200 kgs. Considering a single cable supporting the ele
When a certain gas under a pressure of 4.65 106 Pa at 21.0°C is allowed to expand to 3.00 times its original volume, its final pressure is 1.06 106 Pa. What i
the figure is cut into 6 equal pieces shade 1/3 of the figure.
state and explain 2 ways of becoming a kenyan citizen​
What impact does altitude have on pressure?
Let A = 2, B = 3, C = 9, and D = 15. Find the value of each expression listed below. -2 -14 10 2 -6 -10 14 6-A + C - (D ÷ B)----------------------> (answer)
Which example most clearly describes part of a rhetorical situation? A.The rhetorical appeals a speaker makes to show his authority B. An elaborate analogy that
factor the equation. 2x+13x-15