Find the Value of K for Which the Quadratic Equation Kx (X − 2) + 6 = 0 Has Two Equal Roots. - Mathematics

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Sum

Find the value of k for which the quadratic equation kx (x − 2) + 6 = 0 has two equal roots.

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Solution

Given quadratic equation is:
kx( x 2 )+ 6 = 0
kx2 2kx + 6 = 0

For a quadratic equation to have equal roots,
b2 4ac = 0
Comparing the given equation with general equation ax2 + bx + c =0
We get a = k, b = 2k and c = 6
(2k)2 4(k)(6) = 0
⇒ 4k2 24k = 0
4k ( k 6 ) = 0

Therefore, k = 0 and k = 6.

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2018-2019 (March) 30/4/3

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