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Using the middle-term splitting method, what is the value of \(ac\) for the equation \(3x^2+10x+3=0\)?
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Answer and explanation
Correct answer: 9
Comparing the equation with the standard form \(ax^2+bx+c=0\), we get \(a=3\) and \(c=3\). Therefore, \(ac=3\times3=9\). The value 10 is \(b\), not \(ac\). In an exam, calculate \(ac\) before splitting the middle term.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
Comparing the equation with the standard form \(ax^2+bx+c=0\), we get \(a=3\) and \(c=3\). Therefore, \(ac=3\times3=9\). The value 10 is \(b\), not \(ac\). In an exam, calculate \(ac\) before splitting the middle term.
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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