What is the standard form of the equation \(2x^2=5x+3\)?
Answer and explanation
Correct answer: \(2x^2-5x-3=0\)
The standard form for a quadratic is \(ax^2+bx+c=0\). Move the right-hand side terms to the left by subtracting \(5x+3\) from both sides to get \(2x^2-5x-3=0\). Thus \(a=2, b=-5, c=-3\). Option C is the closest distractor but has the constant term with the wrong sign (+3 instead of −3). Exam tip: always convert to \(ax^2+bx+c=0\) by bringing all terms to one side before identifying coefficients or solving.
Frequently asked questions
What is the correct answer to this question?
\(2x^2-5x-3=0\)
Why is this the correct answer?
The standard form for a quadratic is \(ax^2+bx+c=0\). Move the right-hand side terms to the left by subtracting \(5x+3\) from both sides to get \(2x^2-5x-3=0\). Thus \(a=2, b=-5, c=-3\). Option C is the closest distractor but has the constant term with the wrong sign (+3 instead of −3). Exam tip: always convert to \(ax^2+bx+c=0\) by bringing all terms to one side before identifying coefficients or solving.
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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