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Multiplying Terms with the Same Base

If 3x-22=50...

Question

If $3 (x - 2)^{2} = 507$ , then x can be ________.

13

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12

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15

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14

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Solution

The correct option is D $15$
$3 (x - 2)^{2} = 507$
$(x - 2)^{2} = \frac{507}{3}$
$(x - 2)^{2} = 169$
$x - 2 = 13$
$x = 15$

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