NEONonFIRE NEONonFIRE
  • 22-06-2019
  • Mathematics
contestada

if X square + 1 by x square is equal to 7 find the value of x cube + 1 by x cube

Respuesta :

kellyrenfro0616 kellyrenfro0616
  • 22-06-2019

Answer:

found 2 answers..hope this helps!

Step-by-step explanation:

X²+1/x²=7

LCM of 1 of x²=x²

x²(x²)+1/x²=7

x⁴+1=7x²

x(x³)+1=7x²

x³=7x²-1/x

According to the question

x³+1/x³

7x²-1/x+1/7x²-1/x

7x²-1/x+ x/7x²-1

LCM of x and 7x²-1

7x²-1(7x²-1)+x(x)/x(7x²-1)

49x⁴-7x²-7x²+1+x²/7x³-x

49x⁴-12x²+1/7x³-x

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