What is the discriminant \\(D\\) of the equation \\(2x^2-7x+1=0\\)?
Answer and explanation
Correct answer: 41
For a quadratic equation \\(ax^2+bx+c=0\\), the discriminant is \\(D=b^2-4ac\\). Here, \\(a=2, b=-7, c=1\\), so \\(D=(-7)^2-4(2)(1)=49-8=41\\). Option B results from taking only \\(b^2=49\\) and not subtracting \\(4ac\\). In an exam, identify \\(a,b,c\\) first and substitute their signed values carefully.
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What is the correct answer to this question?
41
Why is this the correct answer?
For a quadratic equation \\(ax^2+bx+c=0\\), the discriminant is \\(D=b^2-4ac\\). Here, \\(a=2, b=-7, c=1\\), so \\(D=(-7)^2-4(2)(1)=49-8=41\\). Option B results from taking only \\(b^2=49\\) and not subtracting \\(4ac\\). In an exam, identify \\(a,b,c\\) first and substitute their signed values carefully.
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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