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Factorize: x^6 - 10x^3 + 27:(^-raised to)

Factorize: x^6 - 10x^3 + 27:(^-raised to)

Grade:10

1 Answers

Askiitians Expert Mohit Singla
19 Points
11 years ago

 

Dear Ajinkya

x6 - 10x3 + 27=0

 

let x3 =t

so t2 -10t +27 =0

discriminant =(-10)^2-4(1)(27)  =-8 which is less than 0.

So,discriminant of this equation is negative so  no real value of t.

So complex roots exist for this equation,which are {10+i(8)^(1/2)}/2 and {10-i(8)^(1/2)}/2.

So this equation has no real value of x.


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