Respuesta :

Answer: The value of x is 126.

Step-by-step explanation:

Since we have given that

[tex]\sqrt{2x+4}=16[/tex]

We need to find the solution of 'x'.

So, on squaring both sides, we get that,

[tex](\sqrt{2x+4})^2=16^2\\\\2x+4=256\ (\because (\sqrt{a})^2=a)\\\\2x=256-4\\\\2x=252\\\\x=\frac{252}{2}\\\\x=126[/tex]

Hence, the value of x is 126.

Answer:

The solution of the equation is x=126.  

Step-by-step explanation:

Given : Equation [tex]\sqrt{2x+4}=16[/tex]

To find : The solution of the equation ?

Solution :

Equation [tex]\sqrt{2x+4}=16[/tex]

Squaring both side,

[tex](\sqrt{2x+4})^2=(16)^2[/tex]

[tex]2x+4=256[/tex]

Subtract 4 both side,

[tex]2x+4-4=256-4[/tex]

[tex]2x=252[/tex]

Divide both side by 2,

[tex]x=\frac{252}{2}[/tex]

[tex]x=126[/tex]

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

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