Question

Find the value of k, they have two equal roots for which quadratic equation 2kx^2+6x +5=0​

Answer 1

Answer:

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Answer 2

$Compare \: given \: Quadratic \: equation$

$2kx^{2} + 6x + 5 = 0 \:with \: ax^{2}+bx+c=0$

$we \:get$

$a = 2k , b = 6 \:and \: c = 5$

$Discreminant (D) = 0$

$\blue{( Given \: roots \:are \:equal )}$

$\implies b^{2} - 4ac = 0$

$\implies 6^{2} - 4 \times 2k \times 5 = 0$

$\implies -40k = -36$

$\implies k = \frac{-36}{-40}$

$\implies k = \frac{9}{10}$

Therefore.,

$\red{ Value \:of \: k }\green { = \frac{9}{10}}$

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