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.