What is obtained when the equation \(3x^2+2=11x\) is written in the standard form \(ax^2+bx+c=0\)?
Answer and explanation
Correct answer: \(3x^2-11x+2=0\)
In standard form, all terms are brought to one side and the other side is made zero. Subtracting \(11x\) from both sides gives \(3x^2+2-11x=0\), which can be written as \(3x^2-11x+2=0\). Therefore, option A is correct. Option B has the wrong sign for the linear term. Exam tip: a term changes its sign when it is transposed to the other side.
Frequently asked questions
What is the correct answer to this question?
\(3x^2-11x+2=0\)
Why is this the correct answer?
In standard form, all terms are brought to one side and the other side is made zero. Subtracting \(11x\) from both sides gives \(3x^2+2-11x=0\), which can be written as \(3x^2-11x+2=0\). Therefore, option A is correct. Option B has the wrong sign for the linear term. Exam tip: a term changes its sign when it is transposed to the other side.
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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