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# For all real numbers x, the operation Δ is defined as xΔ = . If (bΔ)Δ

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For all real numbers x, the operation Δ is defined as xΔ = . If (bΔ)Δ  [#permalink]

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10 Jun 2016, 04:28
3
7
00:00

Difficulty:

35% (medium)

Question Stats:

72% (01:54) correct 28% (02:23) wrong based on 207 sessions

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For all real numbers x, the operation Δ is defined as xΔ =x+$$\frac{x}{4}$$ . If (bΔ)Δ =$$\frac{25}{8}$$ , what is the value of b ?

(A) 1.5

(B) 2

(C) 2.5

(D) 3

(E)3.5

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Md. Abdur Rakib

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Re: For all real numbers x, the operation Δ is defined as xΔ = . If (bΔ)Δ  [#permalink]

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10 Jun 2016, 04:41
AbdurRakib wrote:
For all real numbers x, the operation Δ is defined as xΔ =x+$$\frac{x}{4}$$ . If (bΔ)Δ =$$\frac{25}{8}$$ , what is the value of b ?

(A) 1.5

(B) 2

(C) 2.5

(D) 3

(E)3.5

xΔ =x+$$\frac{x}{4} = \frac{5x}{4}$$...
so $$(bΔ)Δ = \frac{5}{4}*\frac{5b}{4}$$=$$\frac{25}{8}$$.................$$\frac{25b}{16}= \frac{25}{8}$$........b=2
B
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Re: For all real numbers x, the operation Δ is defined as xΔ = . If (bΔ)Δ  [#permalink]

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29 Sep 2018, 05:21
1
I somehow still struggle with this question a bit and had really on partly guessing to get it right.
Could someone provide a little more detailed approach to solving this question?

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Re: For all real numbers x, the operation Δ is defined as xΔ = . If (bΔ)Δ  [#permalink]

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25 Nov 2018, 04:49
5
Hope this helps.
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Re: For all real numbers x, the operation Δ is defined as xΔ = . If (bΔ)Δ   [#permalink] 25 Nov 2018, 04:49
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