Which of the following equations has 0 as a root?
Answer and explanation
Correct answer: \(x^2+5x=0\)
A is correct because \(x^2+5x = x(x+5)\), so \(x=0\) is a root. Rule: a quadratic has 0 as a root only if its constant term is 0 (i.e., the polynomial is divisible by x). For contrast, option C factors as \((x-2)(x-3)\) and D as \((x+1)^2\), so their roots are 2, 3 and −1 respectively, not 0. Exam tip: check the constant term quickly — if it is 0, then x=0 is a root.
Frequently asked questions
What is the correct answer to this question?
\(x^2+5x=0\)
Why is this the correct answer?
A is correct because \(x^2+5x = x(x+5)\), so \(x=0\) is a root. Rule: a quadratic has 0 as a root only if its constant term is 0 (i.e., the polynomial is divisible by x). For contrast, option C factors as \((x-2)(x-3)\) and D as \((x+1)^2\), so their roots are 2, 3 and −1 respectively, not 0. Exam tip: check the constant term quickly — if it is 0, then x=0 is a root.
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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