GATE Electrical Engineering (EE) 2018 Solved Paper

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Question : 3 of 65

Marks: +1, -0

The three roots of the equation

f(x)=0

are

x=\{-2,0,3\} .

What are the three values of for which

f(x-3)=0 ?

$-5,-3,0$
$-2,0,3$
$0,6,8$
$1,3,6$

Solution:

f(x)=0

for

x=\{-2,0,3\}

So,

f(x)=(x+2) x(x-3)=0

f(x-3)=(x-3+2)(x-3)(x-3-3)=0

x=1,3,6

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