Question

ਸਮੀਕਰਨ 2xᒾ +Kx +3 = 0 ਦੇ ਦੋਵੇਂ ਮੂਲ ਸਮਾਨ ਹਨ, ਇਸ ਲਈ K ਦਾ ਮੁੱਲ ਹੈ:

a)±√6

b) ± 4

c) ± 3√2

d) ± 2√6

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Answer 1

Answer:

c)±3√2 is the correct answer

Answer 2

$Compare \: given \: Quadratic \: equation \\2x^{2} + Kx + 3 = 0 \: with \: ax^{2} + bx + c = 0, \\we \: get$

$a = 2 , b = K \: and \: c = 3$

$\pink{ Discriminant = 0 }$

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

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

$\implies K^{2} - 4 \times 2 \times 3 = 0$

$\implies K^{2} = 4 \times 2 \times 3$

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

$\implies K = \pm 2\sqrt{ 6 }$

Therefore.,

$\red{ Value \: of \: K } \green { = \pm 2\sqrt{ 6 }}$

$Option \: \green { ( d ) } \: is \: correct .$

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