Say true or false:
The roots of equation $2 a - 2 = 4 - 4 a$ are $1$ and $- 1$ .

True

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

False

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

Open in App

Solution

The correct option is B False
Given equation is $2 a - 2 = 4 - 4 a$
First check for $1$ :
$2 \times 1 - 2 = 4 - 4 \times 1$
$2 - 2 = 4 - 4$
$0 = 0$
Since equality is correct, then $1$ is root of the equation.
Then check for $- 1$ :
$2 \times (- 1) - 2 = 4 - [4 \times (- 1)]$
$- 2 - 2 = 4 + 4$
$- 4 \neq 8$
Since equality is incorrect, then $- 1$ is not root of the equation.

Suggest Corrections

Similar questions

2 p - 7 p = - 5

1

\frac{1}{2} x^{2} + \sqrt{11} x + 1 = 0

x = - 14, - 8

(2 a - \frac{1}{a})

4 a^{2} - 4 + \frac{1}{a^{2}}

24 = x^{3} + x^{2} + 12

2

1

3 - \frac{11}{2} x + 5 x = 0

2

Join BYJU'S Learning Program