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# Find x if 132x = 70 eight.

### Question

Find x if 132x = 70 eight.

A) 5

B) 3

C) 6

D) 1

### Explanation:

132x = 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 132x = 1326

## Dicussion (1)

• 132x = 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 132x = 1326