Question

Find the values of k for which the equation (k – 1)x2 + kx – k = 0 has real and
distinct roots.

Answer 1

Answer:

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Step-by-step explanation:

The given quadratic equation is x

2

−kx+9=0, comparing it with ax

2

+bx+c=0

∴ We get, a=1b=−k,c=9

⇒ It is given that roots are real and distinct.

∴ b

2

−4ac>0

⇒ (−k)

2

−4(1)(9)>0

⇒ k

2

−36>0

⇒ k

2

>36

⇒ k>6 or k<−6