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What is the standard form of the quadratic equation 2x² + 1 = 7x?

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Answer and explanation

Correct answer: 2x² − 7x + 1 = 0

The standard form of a quadratic equation is ax² + bx + c = 0. Moving 7x to the left changes its sign to −7x, giving 2x² − 7x + 1 = 0. Therefore, option A is correct. Exam tip: the sign of a term changes whenever it is transposed to the other side of the equation.

Related tags

Quadratic EquationsStandard FormTranspositionAlgebraic Equations

Frequently asked questions

What is the correct answer to this question?

2x² − 7x + 1 = 0

Why is this the correct answer?

The standard form of a quadratic equation is ax² + bx + c = 0. Moving 7x to the left changes its sign to −7x, giving 2x² − 7x + 1 = 0. Therefore, option A is correct. Exam tip: the sign of a term changes whenever it is transposed to the other side of the equation.

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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