Question

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$find \: k \: if \: quadratic \: equation \: (k - 5) {x}^{2} + 2(k - 5)x + 2 = 0 \: has \: equal \: roots$

Answer 1

equal roots
${b }^{2} = 4ac \\ {2(k - 5)}^{2} = 4(k - 5)2 \\ k - 5 = 4 \\ k = 9$