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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?


Sagot :

[tex]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}[/tex]
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