Which of the following statements about the equation \(x^2-100=0\) is incorrect?
Answer and explanation
Correct answer: \(x=0\) इसका एक मूल है।
The equation \(x^2-100=0\) gives \(x^2=100=10^2\). Thus, \((x-10)(x+10)=0\), so its roots are \(10\) and \(-10\). Substituting \(x=0\) gives \(-100\neq0\), so statement C is incorrect. Exam tip: check a proposed root by substituting it directly into the equation.
Frequently asked questions
What is the correct answer to this question?
\(x=0\) इसका एक मूल है।
Why is this the correct answer?
The equation \(x^2-100=0\) gives \(x^2=100=10^2\). Thus, \((x-10)(x+10)=0\), so its roots are \(10\) and \(-10\). Substituting \(x=0\) gives \(-100\neq0\), so statement C is incorrect. Exam tip: check a proposed root by substituting it directly into the equation.
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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