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Moderate

Intersection of Parabolas: Solving for $x$

ACTMAT-EKEQRY

For which of the following values of $x$ does:

$$ { (x-2) }^{ 2 }={ (x-6) }^{ 2 } $$

A

$-4$

B

$0$

C

$4$

D

$8$

E

No value of 'x' satisfies this equation.