The counter example of the statement, "The roots of $x^{2} - 6 x - 112 = 0$ are natural numbers"?

- 8

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

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

- 16

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

- 7

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

Open in App

Solution

The correct option is A $- 8$
Given equation is $x^{2} - 6 x - 112 = 0$
$=> x^{2} + 8 x - 14 x - 112 = 0$
$=> (x + 8) (x - 14) = 0$
$=> x = - 8, 14$
As one of the roots $- 8$ is not a natural number, it is an counter example to prove the statement is False.

Suggest Corrections

Similar questions

x^{2} + 6 x - 7 = 0

x^{2} + 6 x + 16 = 0

x^{2} - 3 x + 2 = 0.

\sqrt{5 x^{2} - 6 x + 8} - \sqrt{5 x^{2} - 6 x - 7} = 1

Join BYJU'S Learning Program