If (b - 3)(4 + 2/b) = 0 and b 3, then b =

Question

If (b - 3)(4 + 2/b) = 0 and b ≠ 3, then b =

(A) -8
(B) -2
(C) -1/2
(D) 1/2
(E) 2

Bunuel · Accepted Answer

SOLUTION

If (b-3)(4+2/b) = 0 and b#3, then b=

(A) -8
(B) -2
(C) -1/2
(D) 1/2
(E) 2

(b-3)(4+\frac{2}{b}) = 0  means that  b-3=0  or  4+\frac{2}{b}=0 . Since  b
eq{3} , then  b-3
eq{0}  and thus  4+\frac{2}{b}=0 . From which it follows that  b=-\frac{1}{2} .

Answer: C.

WoundedTiger · Answer

Since b#3,this implies (4+2/b) = 0 and thus 4= - 2/b or b = -1/2

Posted from my mobile device

PareshGmat · Answer

Given  b
eq{3}  , means  b-3
eq{0}

So,  4+\frac{2}{b} = 0

b = \frac{-1}{2}

Answer = C

Kurtosis · Answer

(b - 3)(4 + 2/b) = 0

b = 3 or 2/b = -4

Its given  b 
eq {3}

So, 2/b = -4 --> b = -2/4 = -1/2

Answer: C

diegocml · Answer

This is the Zero Product Property.

It says that, if:

a × b = 0 then a = 0 or b = 0 or both equal zero

So, in  \left( b-3 ight) \left( 4+\cfrac { 2 }{ b } ight) =0 :

b-3=0  and  4+\cfrac { 2 }{ b } =0

Since  b
eq 3  then  4+\cfrac { 2 }{ b } =0ightarrow \left( 4+\cfrac { 2 }{ b } =0 ight) bightarrow 4b+2=0ightarrow 4b=-2ightarrow b=-\cfrac { 2 }{ 4 } ightarrow b=-\cfrac { 1 }{ 2 }

ScottTargetTestPrep · Answer

We have:

b - 3 = 0

b = 3

Or

4 + 2/b = 0

2/b = -4

2 = -4b

-1/2 = b

Since b ≠ 3, then b must be -1/2.

Answer: C

Kinshook · Answer

Given: 
1. (b-3)(4+2/b) = 0 
2. b#3

Asked: b=?
If  b 
eq 0 
4+2/b = 0
2/b = -4
b = -2/4 = -1/2 = -0.5

IMO C

erjainanshul · Answer

This was an easy one. The only thing one needed to pay attention to was b not equal to zero and 3

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If (b - 3)(4 + 2/b) = 0 and b 3, then b =

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