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Class 10MathematicsQuadratic EquationsNature of RootsHard
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If (x^2+5x+k=0) has two distinct real roots, what is the correct condition for (k)?

Answer and explanation

Correct answer: (k<\frac{25}{4})

For two distinct real roots, (D>0), so (25-4k>0) gives (k<\frac{25}{4}). In exams, keep the inequality sign correct while solving.

Related tags

Quadratic EquationsNature Of RootsInequalityNature Of RootsQuadratic EquationsMathematicsClass 10 Mcq
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