Solve the following equation: \(\frac{2}{(2r - 1)}\) - \(\frac{5}{3}\) =  \(\frac{1}{(r + 2)}\)

a

( -1,\(\frac{5}{2}\) )

b

( 1, - \(\frac{5}{2}\) )

c

( \(\frac{5}{2}\), 1 )

d

(2,1)

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Explanation

Correct Option
b

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Discussions (11)

Gregoriano
3 years ago

The answer is correct, but the working is incorrect

2r + 4 - 2r + 15 5
_______________ = ___
2r² +3r - 2 3

Cross multiply

5(2r²+3r-2) = 3(4+1)
10r²+15r-10=15
Factorize
10r²+15r-10-15 = 0
10r²-15r-25=0
(Two numbers that when multiplied give 250, and when added or sub. gives 15 = 10 and 25)

10r²-10r+25r-25 =0
10r(r-1) + 25(r-1) = 0
(r-1) (10r+25) = 0

:- either:

r-1 = 0 or 10r+25 = 0
r =0+1 or 10r = 0-25
r= 1 or r = -25/10

r = 1 or r = -5/2

hit the like button if you agreed with me.

nifemisaibu
3 years ago

steps are not well understood

Gregoriano
3 years ago

2r + 4 - 2r + 15. 5
_______________ = ___
2r² +3r - 2. 3

cross multiply........ 👆👆

chubuezesamuel
3 years ago

pls where is this question coming from.i mean the topic

Emmatuit
3 years ago

Lol
How did they want someone to solve this within a space of 30 sec to minute

Jamb Jamb, una no do well oo

Iamexcelling
3 years ago

The number '5' which is the numerator in the fraction 5/3 wasn't used in the equation, which i think is wrong. No offense pls

Kunang1
4 years ago

B is correct😯

Brovic02
1 year ago

More explanation

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