What is the standard form of the equation \(x^2 = 6x\)?
Answer and explanation
Correct answer: \(x^2-6x=0\)
Bring the term on the right, \(6x\), to the left; the sign changes giving \(x^2-6x=0\). The standard form is \(ax^2+bx+c=0\) with all terms on one side. Option A has the wrong sign for the \(x\)-term; options C and D do not represent the same rearrangement of the original equation. Exam tip: always move all terms to one side so the equation equals zero and then identify \(a, b, c\).
Frequently asked questions
What is the correct answer to this question?
\(x^2-6x=0\)
Why is this the correct answer?
Bring the term on the right, \(6x\), to the left; the sign changes giving \(x^2-6x=0\). The standard form is \(ax^2+bx+c=0\) with all terms on one side. Option A has the wrong sign for the \(x\)-term; options C and D do not represent the same rearrangement of the original equation. Exam tip: always move all terms to one side so the equation equals zero and then identify \(a, b, c\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Introduction to Quadratic Equations.
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