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Studiona11 Studiona11
  • 06-09-2014
  • Mathematics
Answered

Which equation has the same solution as x^2-6x-13=0?


A.) (x+3)^2=21

B.) (x-3)^2=21

C.) (x+3)^2=3

D.) (x-3)^2=3


Explanation?

Verified Answer :

Anonymous Anonymous
  • 07-09-2014

\(x^2-6x-13=0\\\\\underbrace{x^2-2x\cdot3+3^2}_{use:(a-b)^2=a^2-2ab+b^2}-3^2-13=0\\\\(x-3)^2-9-13=0\\\\(x-3)^2-22=0\\\\\boxed{(x-3)^2=22}\)

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