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Grade 11Algebra

prove that-

(x^6)+ (x^4) +(x^2)+x+3=0

has no real roots.

Profile image of Arpit Jaiswal
13 Years agoGrade 11
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4 Answers

Profile image of Himanshu Sharma
13 Years ago

there are 2 negative roots..

Profile image of Himanshu Sharma
13 Years ago

well this eqn has 2 negatice roots....question is wrong

Profile image of Arpit Jaiswal
13 Years ago

thats incorrect!

Profile image of Arpit Jaiswal
13 Years ago

this was simple enough and i figured it out-

all the termsof this equation are to be positive for any real number, because square of any real no. is positive, and the remaining x for sure will have a value which is smaller than (x^6)+(x^4)+(x^2) therefore to get 0, x has to be imaginary.

to get 0.

 

:D

AJ