What is the standard form of the equation \(x^2 = 7\)?
Answer and explanation
Correct answer: \(x^2 - 7 = 0\)
Standard form means writing all terms on one side as \(ax^2+bx+c=0\). For \(x^2=7\), move 7 to the left to get \(x^2-7=0\), which is the standard form. Option A is incorrect because \(x^2+7=0\) corresponds to \(x^2=-7\). Option C is wrong since it introduces a \( -7x\) term not present in the original equation. Exam tip: To convert to standard form, bring every term to the left and arrange as \(ax^2+bx+c=0\).
Frequently asked questions
What is the correct answer to this question?
\(x^2 - 7 = 0\)
Why is this the correct answer?
Standard form means writing all terms on one side as \(ax^2+bx+c=0\). For \(x^2=7\), move 7 to the left to get \(x^2-7=0\), which is the standard form. Option A is incorrect because \(x^2+7=0\) corresponds to \(x^2=-7\). Option C is wrong since it introduces a \( -7x\) term not present in the original equation. Exam tip: To convert to standard form, bring every term to the left and arrange as \(ax^2+bx+c=0\).
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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