Q2 of 58 Page 123

Find the value of k for each of the following quadratic equation, so that they have two equal roots.

kx(x - 2) + 6 = 0

kx(x - 2) + 6 = 0

⇒ kx2 - 2kx + 6 = 0


If the quadratic Equation has equal root then their Discriminant = 0


4k2 - 4 × k × 6 = 0


⇒ k2 - 6k = 0


⇒ k(k - 6) = 0


k = 0,6


If k = 0 then the equation is no longer Quadratic


Answer : k = 6


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