Answered

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Which equation is equivalent to [tex]\sqrt{x} + 11 = 15[/tex]?

A. [tex]x + 11 = 225[/tex]
B. [tex]x + 121 = 225[/tex]
C. [tex]\sqrt{x} = 15 + 11[/tex]
D. [tex]\sqrt{x} = 15 - 11[/tex]

Sagot :

GinnyAnswer
To determine which equation is equivalent to [tex]\(\sqrt{x} + 11 = 15\)[/tex], we need to isolate the square root term, [tex]\(\sqrt{x}\)[/tex]. Here is a step-by-step solution:

1. Start with the given equation:
[tex]\[ \sqrt{x} + 11 = 15 \][/tex]

2. Isolate the square root term by subtracting 11 from both sides of the equation:
[tex]\[ \sqrt{x} + 11 - 11 = 15 - 11 \][/tex]

3. Simplify the equation:
[tex]\[ \sqrt{x} = 4 \][/tex]

The equivalent equation to [tex]\(\sqrt{x} + 11 = 15\)[/tex] is [tex]\(\sqrt{x} = 15 - 11\)[/tex].

So, the correct choice from the given options is:
[tex]\[ \boxed{\sqrt{x} = 15 - 11} \][/tex]
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