Question

*If both roots of the quadratic equation X^2 -2Kx+ k^2+k-5=0 are less than 5, then k lies in the interval
Can You Answer it?​

Answer 1

Answer:

Both the roots are less than 5

⇒

2

2k±

4k

2

−4(k

2

+k−5)

<5

⇒k±

5−k

<5

⇒±

5−k

<5−k

⇒±1<

5−k

⇒1<5−k

⇒k<4⇒k∈(−∞,4)

Answer 2

Answer:

k belongs to (-infinite,4)