Which of the following quadratic equations has one root \(x=0\) and the other root negative?
Answer and explanation
Correct answer: \(x^2+7x=0\)
In option A, \(x^2+7x=x(x+7)\). Hence, the roots are \(x=0\) and \(x=-7\), so the second root is negative. Option B has roots \(0\) and \(7\), and therefore does not satisfy the condition. Exam tip: For an equation of the form \(x^2+bx=0\), the roots are \(0\) and \(-b\).
Frequently asked questions
What is the correct answer to this question?
\(x^2+7x=0\)
Why is this the correct answer?
In option A, \(x^2+7x=x(x+7)\). Hence, the roots are \(x=0\) and \(x=-7\), so the second root is negative. Option B has roots \(0\) and \(7\), and therefore does not satisfy the condition. Exam tip: For an equation of the form \(x^2+bx=0\), the roots are \(0\) and \(-b\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Introduction to Quadratic Equations.
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