Question

X3-x2 =4624
Solve for x

Answer 1

$Given \: x^{3} - x^{2} = 4624$

$\implies x^{2}(x-1) = 4624$

*__________________

2| 4624

________

2| 2312

________

2| 1156

________

2| 578

________

17| 289

________

****** 17

4624 = 17² × 2⁴

= 17² × 16

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$\therefore x^{2}(x-1) = 17^{2} \times 16$

$\implies x^{2}(x-1) = 17^{2} (17-1)$

/* Compare bothsides of the equation , we get */

$x = 17$

Therefore.,

$\red{ Value\:of \:x } \green {= 17 }$

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