2000samantha
2000samantha 2000samantha
  • 11-12-2018
  • Mathematics
contestada

Solve for x^4 - 17x^2 + 16 = 0 let u=

Solve for x4 17x2 16 0 let u class=

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jimthompson5910 jimthompson5910
  • 11-12-2018

Answer: x^2

If we let u = x^2, then we can replace every copy of "x^2" with "u" like so

x^4 - 17x^2 + 16 = 0

(x^2)^2 - 17x^2 + 16 = 0

u^2 - 17u + 16 = 0 ... this is where the substitution takes place

From here you would use the quadratic formula or factoring to solve for u, getting two different solutions. Whatever those solutions may be, they are then plugged into u = x^2 to determine the four solutions for x.

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sana112704
sana112704 sana112704
  • 11-12-2018

Answer: x² is the answer  



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