Correct Answer: Option C

Explanation

132_x = 70₈

\( 1 × x^2 + 3 × x^1 + 2 × x^0 \)

\( 7 × 8^1 + 0 × 8^0 \)

\( x^2 + 3x + 2 − 56 = 0 \)

\( x^2 + 3x − 54 = 0 \)

x(x + 9)−6(x + 9) = 0

(x + 9)(x − 6) = 0

Either (x + 9) = 0 or (x − 6) = 0

x = − 9 or +6

The positive values for x = 6

The base number for 132_x = 132₆

There is an explanation video available below.

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