What is the standard form of the equation \(2x^2+5x=3\)?
Answer and explanation
Correct answer: \(2x^2+5x-3=0\)
Standard form means writing the quadratic as \(ax^2+bx+c=0\) with all terms on one side. Moving the 3 from the right to the left changes its sign to −3, giving \(2x^2+5x-3=0\). Option A is wrong because it keeps the constant as +3 instead of −3. Options C and D are wrong because they incorrectly change the sign of the linear term 5x. Exam tip: When converting to standard form, move all terms to one side and remember to change the sign of any term you transpose; then compare with \(ax^2+bx+c=0\).
Frequently asked questions
What is the correct answer to this question?
\(2x^2+5x-3=0\)
Why is this the correct answer?
Standard form means writing the quadratic as \(ax^2+bx+c=0\) with all terms on one side. Moving the 3 from the right to the left changes its sign to −3, giving \(2x^2+5x-3=0\). Option A is wrong because it keeps the constant as +3 instead of −3. Options C and D are wrong because they incorrectly change the sign of the linear term 5x. Exam tip: When converting to standard form, move all terms to one side and remember to change the sign of any term you transpose; then compare with \(ax^2+bx+c=0\).
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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