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

Graph the line that represents the equation pls
Which is true about "One Art"? A. Its use of rhyme and repetition is subtle and hard to notice. B. It rhymes at the beginning, but stops rhyming by the end. C.
Can you help me with this thanks
What is the quotient 1 5/8 ÷ -1 3/5
Find 4 solutions (in radians) of sine = 0.18.
HELP ASAP PLEASEE! How many degrees are in 1 mil? A.18.6 B.16 C.24 D.17.45
what year did the early Christian era start?
What’s the solution? Please help! 16 points!
In the reaction of Zn with HCl, 140.15 g of ZnCl2 was actually formed, although the theoretical yield was 143 g. What was the percent yield? Zn + 2HCl ➡ ZnCl2 +
please help me for this​