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

Your home insurance policy has a $500 deductible. If a small fire causes $1200 damage to your home, what amount of the claim would the insurance company pay? A.
Explain why an addition problem that has a 4-digit addends could have a 5 digit sum.
How did European affairs complicate the internal political and diplomatic problems of the new country (US)?
The Puritan communities in New England in the 1600s mainly emphasized
The area of a sea horse is 108 cm. Every day it grows by 2%. What will be the sea horse’s area after 2 days?
In the Southern subregion of sub-Saharan Africa, which country is mainly covered by the Kalahari Desert?
why is pi the best example of an exponent
Explain how you can use place value patterns to describe how 50 and 5,000 compare
Who is W. E. B. Du Bois?
What effect does observing a substance's physical properties have on the substance?