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प्रश्न
For what value of k, are the roots of the quadratic equation kx (x − 2) + 6 = 0 equal ?
उत्तर
The given quadratic equation is k x (x − 2) + 6 = 0.
This equation can be rewritten as kx2 − 2kx + 6 = 0.
For equal roots, it discriminate, D = 0.
⇒ b2 − 4ac = 0, where a = k, b = −2k and c = 6.
⇒ 4k2 − 24k = 0
⇒ 4k(k− 6) = 0
⇒ k = 0 or k = 6
But k cannot be 0, so the value of k is 6
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