Question

2√2x+1-2x=1 factorise

Answer 1

Answer:

2x(√2-1) = 0 ⇒ x = 0

Step-by-step explanation:

Given :

To factorize $2\sqrt{2} x + 1 -2x = 1$,

Solution :

By bringing RHS = 0,

We get,

$2\sqrt{2} x + 1 -2x = 1$

$2\sqrt{2} x + 1 -2x - 1 = 0$

$2\sqrt{2} x - 2x = 0$

$2x(\sqrt{2} - 1) = 0$

∴ $(2x - 0)(\sqrt{2} - 1) = 0$ are the factors

$2x = 0$ (or) $(\sqrt{2} - 1) = 0$

$\sqrt{2} - 1 = 1.414 - 1 = 0.414$ ≠$0$,

Then, $2x = 0$ ⇒ $x = 0$

∴ The only possible factor of x is, x = 0.