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What is the equal root of (x^2-8x+16=0)?
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Answer and explanation
Correct answer: 4
The equation \(x^2-8x+16=0\) can be written as \((x-4)^2=0\). Thus, \(x-4=0\), so both equal roots are \(4\). The option \(-4\) is a common sign-error distractor. Exam tip: for equal roots, use \(x=-\frac{b}{2a}\) or check that the discriminant \(D=b^2-4ac=0\).
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
The equation \(x^2-8x+16=0\) can be written as \((x-4)^2=0\). Thus, \(x-4=0\), so both equal roots are \(4\). The option \(-4\) is a common sign-error distractor. Exam tip: for equal roots, use \(x=-\frac{b}{2a}\) or check that the discriminant \(D=b^2-4ac=0\).
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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