What is the value of the discriminant \(D\) of the quadratic equation \(x^2+8x+16=0\)?
Answer and explanation
Correct answer: 0
For a quadratic equation \(ax^2+bx+c=0\), the discriminant is \(D=b^2-4ac\). Here, \(a=1, b=8, c=16\), so \(D=8^2-4(1)(16)=64-64=0\). Therefore, the equation has equal roots. In an exam, identify the signs of \(a,b,c\) before substitution; \(64\) is only the value of \(b^2\), not the complete discriminant.
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What is the correct answer to this question?
0
Why is this the correct answer?
For a quadratic equation \(ax^2+bx+c=0\), the discriminant is \(D=b^2-4ac\). Here, \(a=1, b=8, c=16\), so \(D=8^2-4(1)(16)=64-64=0\). Therefore, the equation has equal roots. In an exam, identify the signs of \(a,b,c\) before substitution; \(64\) is only the value of \(b^2\), not the complete discriminant.
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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