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If (2x^2+8x+1=0) is solved by completing the square, which middle step is correct?

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Answer and explanation

Correct answer: ((x+2)^2=\frac{7}{2})

First (x^2+4x+\frac{1}{2}=0) is obtained, then adding (4) gives ((x+2)^2=\frac{7}{2}). In exams, divide by (a) first when (a\neq1).

Related tags

QuadraticCompleting-SquareHard

Frequently asked questions

What is the correct answer to this question?

((x+2)^2=\frac{7}{2})

Why is this the correct answer?

First (x^2+4x+\frac{1}{2}=0) is obtained, then adding (4) gives ((x+2)^2=\frac{7}{2}). In exams, divide by (a) first when (a\neq1).

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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