Question

if 2 is one root of the equation 2X² + 6 x +4 = 0 than the other root is?
(a) 6
(b)-6
(c) 1
(d) -1​

Answer 1

Answer:

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Step-by-step explanation:

$so \: here \: given \: quadratic \: equation \: is \: 2X² + 6 x +4 = 0$

$so \: let \: its \: two \: roots \: be \: \alpha \: and \: \beta \: respectively$

$now \: here \: \ \alpha = 2$

$so \: comparing \: the \: above \: quadratic \: equation \: with \: ax \: square + bx + c = 0 \\ we \: get$

$a = 2 \: b = 6 \: c = 4$

$thus \: then \: we \: know \: that \\ \alpha \beta = c \div a$

$thus \: then \: 2 \beta = 4 \div 2$

$ie \: 2 \beta = 2 \\ so \: \beta = 1$

$hence \: the \: other \: root \: of \: given \: quadratic \: equation \: is \: 1 \: ie \: option \: c \: is \: ryt$