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The discriminant of a quadratic equation is D = (s − 2)^2. What must be the value of s for the equation to have equal roots?
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Answer and explanation
Correct answer: s = 2
A quadratic equation has equal roots only when its discriminant is D = 0. Hence, (s − 2)^2 = 0, which gives s − 2 = 0 and therefore s = 2. If s = −2, the discriminant becomes 16, indicating two distinct real roots. Exam tip: remember that equal roots require D = 0.
Frequently asked questions
What is the correct answer to this question?
s = 2
Why is this the correct answer?
A quadratic equation has equal roots only when its discriminant is D = 0. Hence, (s − 2)^2 = 0, which gives s − 2 = 0 and therefore s = 2. If s = −2, the discriminant becomes 16, indicating two distinct real roots. Exam tip: remember that equal roots require D = 0.
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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