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Algebra

New kid on the Block

 Joined: 15 Sep 2011 Post: 21
6 Apr 2012 12:59:20 IST
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Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Algebra

Suppose abc<0, a+b+c>0 and |a|/a +|b|/b +|c|/c = x , then the value of x^3 + 16x -7.

Cool goIITian

Joined: 31 Mar 2012
Posts: 81
6 Apr 2012 12:59:58 IST
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abc0 means??

Cool goIITian

Joined: 31 Mar 2012
Posts: 81
6 Apr 2012 13:01:27 IST
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10 i think

New kid on the Block

Joined: 15 Sep 2011
Posts: 21
6 Apr 2012 13:04:12 IST
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how ??

Scorching goIITian

Joined: 10 Feb 2012
Posts: 262
6 Apr 2012 13:09:53 IST
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The definition for modulus function is

x if x>0

mod(x)=

-x if x<0

Hence if a*b*c<0 and a+b+c>0

This implies one of the variables  can be negative an the other two positive

Now just assume a is negative and b and c are +ve

Then

mod(a)/a=-1

mod(b)/b=1

mod(c)/c=1

Now

x=1-1+1

x=1

done..

Now just calculate the value of the function

1+16-7=10

Please click like if you do understand

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