If 2 and 3 are the two roots of the equation 2 x 3 + m x 2 − 13 x + n = 0 , then the values of m and n are respectively

Question

If 2 and 3 are the two roots of the equation 2 x 3 + m x 2 − 13 x + n = 0 , then the values of m and n are respectively, − 5, - 30, − 5, 30, 5, 30, 5, - 30

MARKS App · Accepted Answer

2 and 3 are the roots of the equation $ ​ 2 x 3 + m x 2 − 13 x + n = 0 At x = 2 ​ im g src = " h ttp s : // c d n − q u es t i o n − p oo l . g e t ma r k s . a pp / p y q / t s e ​ am ce t /1 R g Ql 4 iW z F 9 V J c OlB U B h w ​ 7 H FwQl L wq e P Y u E g a Eq 82 s . or i g ina l . f u ll s i ze . p n g " > b r > a t x = 3 im g src = " h ttp s : // c d n − q u es t i o n − p oo l . g e t ma r k s . a pp / p y q / t s e ​ am ce t / i r l A d 4 Y v y 6 XZ 74 e X r SqN d y ​ B zc 8 J r 6 M ss l Y 4 k g T d X U s . or i g ina l . f u ll s i ze . p n g " > b r > S u b t r a c t in g Eq . ( ii ) f ro m Eq . ( i ) , − 5 m n ​ = 25 ⇒ m = − 5 = 30 ​ ∴ n = 30 $

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