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What s the value of k when the equation x squared plus 2kx plus 10x plus k squared plus 5 equals 0 has equal roots?
Wiki User
∙ 7y ago
Equation: x^2 +2kx +10x +k^2 +5 = 0
Using the discriminant: (2k +10)^2 -4*1*(k^2 +5) = 0
Multiplying out the brackets: 4k^2 +40K +100 -4k^2 -20 = 0
Collecting like terms: 40k +80 = 0 => 40k = -80 => k = -80/40
Therefore the value of k = -2
Wiki User
∙ 7y ago
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