CBSE Class 12-science Answered
Please solve the inequality for the variable x:-
Asked by | 06 Jun, 2009, 12:42: PM
Expert Answer
x³-7x²+14x-8<0
Let f(x)=x³-7x²+14x-8
Clearly :
f(1)=0
f(2)=0
So facorizing f(x),
f(x)=x(x2 -3x+2)-4(x2 -3x+2)=(x-1)(x-2)(x-4)
Hence:
(x-1)(x-2)(x-4)<0
Using wavy curve method or any other standard method,
x<1 or x 
(2,4)
Answered by | 07 Jun, 2009, 12:38: AM
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