Answered

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What is the solution of [tex]\(\sqrt{2x + 4} = 16\)[/tex]?

A. [tex]\(x = 6\)[/tex]
B. [tex]\(x = 72\)[/tex]
C. [tex]\(x = 126\)[/tex]
D. No solution

Sagot :

GinnyAnswer
To solve the equation [tex]\(\sqrt{2x + 4} = 16\)[/tex], we'll follow these steps:

1. Isolate the square root:
[tex]\[ \sqrt{2x + 4} = 16 \][/tex]

2. Eliminate the square root by squaring both sides:
[tex]\[ (\sqrt{2x + 4})^2 = 16^2 \][/tex]
This simplifies to:
[tex]\[ 2x + 4 = 256 \][/tex]

3. Solve for [tex]\(x\)[/tex]:
[tex]\[ 2x + 4 = 256 \][/tex]
Subtract 4 from both sides:
[tex]\[ 2x = 252 \][/tex]
Divide both sides by 2:
[tex]\[ x = 126 \][/tex]

Therefore, the solution to the equation [tex]\(\sqrt{2x+4}=16\)[/tex] is [tex]\(x=126\)[/tex].
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