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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

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 

Grade:12th pass

1 Answers

Arun
25763 Points
2 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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