Question

find the sum of the roots of a quadratic equation 2xsquare+214x-49=0​

Answer 1

Question

find the sum of the roots of a quadratic equation 2x²+214x-49=0

Solution

$sum \: of \: roots \: = \alpha + \beta = \frac{ - b}{a}$

$in \: given \: eqaution \: where \: a \: = 2 \: b = 214 \: c = - 49$

$then \: \alpha + \beta = \frac{ - 214}{2} \: \: \: (by \: replacing \: b \: and \: a \: by \: 2 \: and \: 214)$

$therefore \: \alpha + \beta = - 107$

$thus \: sum \: of \: root \: of \: given \: euqation \: is\: - 107$

hope it helps

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