Find the sum of the solutions of the following equation:
${| x |}^{3} - 15 x^{2} - 8 | x | - 11 = 0$

Open in App

Solution

$x^{3} - 15 x^{2} - 8 x - 11 = 0$

if, $x > 0$

sum of roots $= 15$

if, $x < 0$

$\begin{matrix} - x^{3} - 15 x^{2} + 8 x - 11 = 0 x^{3} + 15 x^{2} - 8 x + 11 = 0 \end{matrix}$

sum of roots $= - 15$

Total sum $= 15 - 15 = 0$

Suggest Corrections

Similar questions

(x - 3)^{2} + | x - 3 | - 11 = 0

x

(31 + 8 \sqrt{15})^{x^{2} - 3} = (32 + 8 \sqrt{15})^{x^{2} - 3}

x

(31 + 8 \sqrt{15})^{x^{2} - 3} + 1 = (32 + 8 \sqrt{15})^{x^{2} - 3}

Find the sum and the product of the roots of the following equations 8 $x^{2}$ – 3x + 6 = 0

Find the solution to the following system of linear equations:
2x+3y=8
x-2y+3=0

Join BYJU'S Learning Program