solve the radical equation $\frac{1}{3}sqrt{x + 1} = 6$. what is x? x e…
x equals 323
Question
solve the radical equation $\frac{1}{3}sqrt{x + 1} = 6$. what is x?
x equals 35
x equals 215
x equals 107
x equals 323
Solution Steps
-
Understand the question
solve the radical equation $\frac{1}{3}sqrt{x + 1} = 6$. what is x?
x equals 35
x equals 215
x equals 107
x equals 323 -
Explanation
Step1: Isolate the radical term
Multiply both sides by 3 to cancel the coefficient:
$$\sqrt{x+1} = 6 \times 3$$
$$\sqrt{x+1} = 18$$Step2: Eliminate the square root
Square both sides of the equation:
$$(\sqrt{x+1})^2 = 18^2$$
$$x + 1 = 324$$Step3: Solve for x
Subtract 1 from both sides:
$$x = 324 - 1$$
$$x = 323$$ -
Final answer
x equals 323
Answer
Explanation
Step1: Isolate the radical term
Multiply both sides by 3 to cancel the coefficient:
$$\sqrt{x+1} = 6 \times 3$$
$$\sqrt{x+1} = 18$$
Step2: Eliminate the square root
Square both sides of the equation:
$$(\sqrt{x+1})^2 = 18^2$$
$$x + 1 = 324$$
Step3: Solve for x
Subtract 1 from both sides:
$$x = 324 - 1$$
$$x = 323$$
Answer
x equals 323
Question Image
Click to enlargeQuestion Analysis
Subject
mathematics
Sub Subject
algebra
Education Level
high school
Difficulty
unspecified
Question Type
multiple choice, calculation
Multi Question
No
Question Count
1
Analysis Status
completed
Analyzed At
2026-02-09T20:10:41
OCR Text
Show OCR extraction
solve the radical equation $\frac{1}{3}sqrt{x + 1} = 6$. what is x?
x equals 35
x equals 215
x equals 107
x equals 323
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