Question

Yadi warg samikarn 9×2_ k×+16 =0 ke mool saman hai to k kaa man gyat kijiye

Answer 1

$Compare \: given \: Quadratic \: equation \\with \: ax^{2} + bx + c = 0, we \:get$

$a = 9 , b = -k \: and \: c = 16$

$Discreminant (D) = 0$

$\blue{ ( \because Roots \: are \: equal )}$

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

$\implies (-k)^{2} - 4 \times 9 \times 16 = 0$

$\implies k^{2} = 4 \times 9 \times 16$

$\implies k =\pm \sqrt{ 4 \times 9 \times 16}$

$\implies k =\pm \sqrt{ 2^{2} \times 3^{2} \times 4^{2}}$

$\implies k =\pm (2 \times 3 \times 4)$

$\implies k = \pm 24$

Therefore.,

$\red{ Values \: of \: k } \green { = \pm 24 }$

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