Solve the following equations:
$x^{3} - 15 x^{2} - 33 x + 847 = 0$ .

Open in App

Solution

Given equation, $x^{3} - 15 x^{2} - 33 x + 847 = 0$

$⟹ x^{3} - 22 x^{2} + 7 x^{2} + 121 x - 154 x + 847 = 0 ⟹ (x + 7) (x^{2} - 22 x + 121) = 0 ⟹ (x + 7) (x - 11)^{2} = 0$

$∴ x = - 7, 11, 11$

Suggest Corrections

Similar questions

x^{3} - 15 x^{2} + 59 x - 45 = 0

x

4 x^{4} - 20 x^{3} + 33 x^{2} - 20 x + 4 = 0

3 (3 x - 7) = 5 (2 x - 3)

Join BYJU'S Learning Program