Write the expression \\(x(x+5)=0\\) in the standard quadratic form \\(ax^2+bx+c=0\\).
Answer and explanation
Correct answer: x^2+5x=0
Expanding gives \\x(x+5)=x\cdot x + x\cdot 5 = x^2+5x\\. In standard form this is \\x^2+5x+0=0\\ or simply \\x^2+5x=0\\. Option B has the wrong sign (would be \\-5x\\ if the second term were negative), option C incorrectly multiplies the square term by 5 (\\5x^2\\ instead of \\x^2\\), and option D is linear, not quadratic. Exam tip: expand brackets carefully and collect terms on one side to match \\ax^2+bx+c=0\\ before identifying a, b, c.
Frequently asked questions
What is the correct answer to this question?
x^2+5x=0
Why is this the correct answer?
Expanding gives \\x(x+5)=x\cdot x + x\cdot 5 = x^2+5x\\. In standard form this is \\x^2+5x+0=0\\ or simply \\x^2+5x=0\\. Option B has the wrong sign (would be \\-5x\\ if the second term were negative), option C incorrectly multiplies the square term by 5 (\\5x^2\\ instead of \\x^2\\), and option D is linear, not quadratic. Exam tip: expand brackets carefully and collect terms on one side to match \\ax^2+bx+c=0\\ before identifying a, b, c.
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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