Sum of the real roots in the equation $x^{2} | x | - 17 x^{2} + 95 | x | - 175 = 0$ is:

$34$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$0$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

None

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$17$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
$0$

$x^{2} | x | - 17 x^{2} + 95 | x | - 175 = 0$

$\Rightarrow | x |^{3} - 17 | x |^{2} + 95 | x | - 175 = 0$

$\Rightarrow (| x | - 5) (| x |^{2} - 12 | x | + 35) = 0$

$\Rightarrow (| x | - 5) (| x | - 5) (| x | - 7) = 0$

$\Rightarrow | x | = 5, 5, | x | = 7$

$\Rightarrow$ Roots are $5, - 5, 5, - 5, 7, - 7$ whose sum $= 0$

Suggest Corrections

Similar questions

Sum of the real roots in the equation $x^{2} | x | - 17 x^{2} + 95 | x | - 175$ = 0 is:

Sum of the real roots in the equation $x^{2} | x | - 17 x^{2} + 95 | x | - 175 = 0$ is:

x^{2} + | x | - 6 = 0

For the equation $| x^{2} | + | x | - 6 = 0$ , the roots are

Join BYJU'S Learning Program