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What is the discriminant \(D\) of the quadratic equation \(2x^2+7x+3=0\)?
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Answer and explanation
Correct answer: 25
Comparing the equation with \(ax^2+bx+c=0\), we get \(a=2, b=7, c=3\). Thus, \(D=b^2-4ac=7^2-4(2)(3)=49-24=25\). The distractor 49 is only \(b^2\), without subtracting \(4ac\). Exam tip: Calculate the value and sign of \(D\) first to determine the nature of the roots.
Frequently asked questions
What is the correct answer to this question?
25
Why is this the correct answer?
Comparing the equation with \(ax^2+bx+c=0\), we get \(a=2, b=7, c=3\). Thus, \(D=b^2-4ac=7^2-4(2)(3)=49-24=25\). The distractor 49 is only \(b^2\), without subtracting \(4ac\). Exam tip: Calculate the value and sign of \(D\) first to determine the nature of the roots.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Nature of Roots.
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