If (x^2+2(k-1)x+(k+5)=0) has no real roots, in which interval will (k) lie?

Here (D=4(k-1)^2-4(k+5)=4(k^2-3k-4)). Use (D<0) and factor carefully before choosing the interval.

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Nature of Roots.

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Answer and explanation

Correct answer: (0<k<3)

Here (D=4(k-1)^2-4(k+5)=4(k^2-3k-4)). Use (D<0) and factor carefully before choosing the interval.

What is the correct answer to this question?

(0<k<3)

Why is this the correct answer?

Here (D=4(k-1)^2-4(k+5)=4(k^2-3k-4)). Use (D<0) and factor carefully before choosing the interval.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Nature of Roots.

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