If $(146)_{x} + (313)_{x - 2} = (246)_{8}$ . Then the base x is _________.
7

Open in App

Solution

The correct option is A 7
$x^{2} + 4 x + 6 + 3 (x - 2)^{2} + (x - 2) + 3 = 2 \times 64 + 4 \times 8 + 6$

$4 x^{2} - 7 x + 19 = 166$

$4 x^{2} - 7 x - 147 = 0$

Possible values for 'x' are 6.93, -5.26

$∴$ Base is, $x \approx 7$

Suggest Corrections

Similar questions

If roots of the cubic equation $x^{3}$ + a $x^{2}$ + 146x + c = 0 are three consecutive positive integers. Find the sum of the roots.

k

x + y + z = 2 2 x + y - z = 3 3 x + 2 y + k z = 4

X^{(3 / 4) (log X - (5 / 4))} = \sqrt{2}

4^{{log}_{2} log x} = log x - {(log x)}^{2} + 1

x

Join BYJU'S Learning Program