What values of \\(x\\) are obtained by solving the equation \\(x+3)^2=16\\)?
Answer and explanation
Correct answer: \\(x=1,-7\\)
Taking the square root gives \\(x+3=\\pm4\\). Thus, \\(x+3=4\\) gives \\(x=1\\), while \\(x+3=-4\\) gives \\(x=-7\\). Therefore, option A is correct. The values in option B do not satisfy the original equation. In an exam, remember to consider both the positive and negative square-root cases.
Frequently asked questions
What is the correct answer to this question?
\\(x=1,-7\\)
Why is this the correct answer?
Taking the square root gives \\(x+3=\\pm4\\). Thus, \\(x+3=4\\) gives \\(x=1\\), while \\(x+3=-4\\) gives \\(x=-7\\). Therefore, option A is correct. The values in option B do not satisfy the original equation. In an exam, remember to consider both the positive and negative square-root cases.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Methods of Solving Quadratic Equations.
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