Question

What is the solution of Sqrt ( 2x + 4) = 16?

Answer 1

The solution of the equation is x=126.

Explanation:

Given : Equation
`√(2x+4)=16`

To find : The solution of the equation ?

Solution :

Equation
`√(2x+4)=16`

Squaring both side,

`(√(2x+4))^2=(16)^2`

`2x+4=256`

Subtract 4 both side,

`2x+4-4=256-4`

`2x=252`

Divide both side by 2,

`x=(252)/(2)`

`x=126`

Therefore, the solution of the equation is x=126.

Answer 2

Answer: The value of x is 126.

Explanation:

Since we have given that

`√(2x+4)=16`

We need to find the solution of 'x'.

So, on squaring both sides, we get that,

`(√(2x+4))^2=16^2\\\\2x+4=256\ (\because (√(a))^2=a)\\\\2x=256-4\\\\2x=252\\\\x=(252)/(2)\\\\x=126`

Hence, the value of x is 126.