Question

4. If the sum of the roots mx2 - x + 3 = 0 is 3, then the value of m is :​

Answer 1

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

$a = m , b = -1 \:and \: c = 3$

$Sum\:of \:the \: roots = 3 \:(given)$

$\implies \frac{-b}{a} = 3$

$\implies \frac{-(-1)}{m} = 3$

$\implies \frac{1}{m} = 3$

$\implies \frac{1}{3} = m$

Therefore.,

$\red { Value \:of \: m } \green {= \frac{1}{3}}$

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