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If the roots of (x^2+px+24=0) are (r) and (r+2), what are the possible values of (p)?

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Answer and explanation

Correct answer: (10) and (-10)

From (r(r+2)=24), we get (r=4) or (r=-6). The sum of roots is (10) or (-10), so (p=-10) or (p=10).

Related tags

Quadratic-RootsRoot-GapParameter

Frequently asked questions

What is the correct answer to this question?

(10) and (-10)

Why is this the correct answer?

From (r(r+2)=24), we get (r=4) or (r=-6). The sum of roots is (10) or (-10), so (p=-10) or (p=10).

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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