Question

s in
Squaring both sides of the equation
√√x+1=√x+6-1 and simplifying, the equation
becomes 3 = √√x+6.
The solution of the equation is

Answer 1

The value of x in given linear equation is x = 3.

According to the statement

we have given that the equation and we have to find the solution of that equation.

So, For this purpose,

The given equation is :

$\sqrt{ x+1} = \sqrt{ x+6} -1$

From this equation it is clear that the it is a linear equation.

So, for find the value of x

To solve this equation squaring on both sides then equation become

x+1 = x+6 +1 -2√x+6.

Then

-2√x+6 = -6

then

$\sqrt{x + 6} = 3$

Now remove the square by S.B.S.

Then the equation become

x +6 = 9

x = 3.

In this equation the value of x is 3.

So, The value of x in given linear equation is x = 3.

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