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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 31
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If 1 is subtracted from each root of the equation \(x^2-4x-12=0\), what is the product of the resulting roots?

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Answer and explanation

Correct answer: -15

Factoring the equation as \((x-6)(x+2)=0\) gives the roots 6 and -2. After subtracting 1 from each root, the new roots are 5 and -3, so their product is \(5\times(-3)=-15\). In such questions, finding the original roots first is a direct and reliable method.

Related tags

Quadratic EquationsRootsTransformed RootsProduct Of Roots

Frequently asked questions

What is the correct answer to this question?

-15

Why is this the correct answer?

Factoring the equation as \((x-6)(x+2)=0\) gives the roots 6 and -2. After subtracting 1 from each root, the new roots are 5 and -3, so their product is \(5\times(-3)=-15\). In such questions, finding the original roots first is a direct and reliable method.

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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