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amr130 amr130
  • 25-07-2016
  • Mathematics
Answered

what is the result of isolating y^2 in the equation below? (x+4)^2+y^2=22

Verified Answer :

gomezgerman032 gomezgerman032
  • 28-11-2019

Answer: y² = 22 - (x+4)²       or

y² = -x²-8x+6 (simplified form)

Step-by-step explanation:

Hi, to answer this question we have to isolate the term y².

(x+4)² +y² =22

y² = 22 - (x+4)²

That is the result without simplifying. If we simplify the sum raised to a power, we have to apply the method (a+b)^2 = a^2 + 2ab + b^2.

y²= 22 - (x²+2.x.4+4²)

y² = 22 - (x² +8x +16)

y²= 22 -x² -8x-16

y² = -x²-8x+6 (simplified result)

Feel free to ask for more if it´s necessary or if you did not understand something.

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