Question

Find the value of x 5√5x+2=2

Answer 1

As per the given equation,

$5 \sqrt{5} x + 2 = 2$

Here, Left Hand Side(LHS) is $5 \sqrt{5}x + 2$.

And, Right Hand Side(RHS) is $2$.

Subtracting 2 from both sides LHS(Left Hand Side) and RHS (Right Hand Side):

$\Rightarrow 5 \sqrt{5} x + 2 - 2 = 2 - 2\\\Rightarrow 5 \sqrt{5} x = 0$

Dividing both sides from $5\sqrt{5}$:

$\Rightarrow \dfrac{5 \sqrt{5} x}{5 \sqrt{5}}=\dfrac{0}{5 \sqrt{5}}$

Rule: We know that, dividing 0 by any number n always gives us 0.

$\Rightarrow x = 0$

The Left Hand Side ($5 \sqrt{5}x + 2$) can be equal to RHS (2) only when $x = 0$.

Hence $x = 0$ is the correct answer.