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What are the roots of the equation 5x² + 15x = 0?

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Answer and explanation

Correct answer: x = 0, -3

Factoring gives 5x² + 15x = 5x(x + 3) = 0. By the zero-product property, x = 0 or x + 3 = 0, so x = -3. Therefore, the roots are 0 and -3. Option B results from changing the sign of -3 incorrectly. In an exam, remember to include both roots.

Related tags

Quadratic EquationsZero Product PropertyFactorisationRoots

Frequently asked questions

What is the correct answer to this question?

x = 0, -3

Why is this the correct answer?

Factoring gives 5x² + 15x = 5x(x + 3) = 0. By the zero-product property, x = 0 or x + 3 = 0, so x = -3. Therefore, the roots are 0 and -3. Option B results from changing the sign of -3 incorrectly. In an exam, remember to include both roots.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Methods of Solving Quadratic Equations.

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