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question mark

the equation x^4+16x-12=0 has
a.all the roots real
b.all the roots complex
c.two roots real and two roots complex
D.all the roots integers

DASARI NAGESWARA RAO , 6 Years ago
Grade 12th pass
anser 1 Answers
Arun

Last Activity: 6 Years ago

 
Dear student
 
f (0) = negative
f(1) = positive
f(2) = positive 
similarily f(3), f(4).... are positive
hence one root between 0 and 1.
 
now
f(-1) = – ve
f(-2) = negative
f(-3) = positive
f(-4), f(-5),..... are positive
hence one root lies between -2 and -3.
 
 
jphence only two real roots and other two roots are imaginary

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