Which statement is correct about the roots of the equation \(5x^2-2x+1=0\)?
Answer and explanation
Correct answer: No real roots
Here, \(a=5, b=-2, c=1\). The discriminant is \(D=b^2-4ac=(-2)^2-4(5)(1)=4-20=-16<0\). Therefore, the equation has no real roots. Option A would be correct only if \(D=0\), while option B requires \(D>0\). Exam tip: The sign of the discriminant quickly determines the nature of the roots of a quadratic equation.
Frequently asked questions
What is the correct answer to this question?
No real roots
Why is this the correct answer?
Here, \(a=5, b=-2, c=1\). The discriminant is \(D=b^2-4ac=(-2)^2-4(5)(1)=4-20=-16<0\). Therefore, the equation has no real roots. Option A would be correct only if \(D=0\), while option B requires \(D>0\). Exam tip: The sign of the discriminant quickly determines the nature of the roots of a quadratic equation.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Roots of a Quadratic Equation.
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