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The given quadratic equation is in form :

[tex]\qquad \sf  \dashrightarrow \: a {x}^{2} + bx + c = 0[/tex]

and here,

  • a = 3

  • b = -4

  • c = -7

As we know, Sum of roots equals :

[tex]\qquad \sf  \dashrightarrow \: - \cfrac{b}{a} [/tex]

[tex]\qquad \sf  \dashrightarrow \: - \cfrac{ (- 4)}{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cfrac{ 4}{3} [/tex]

And that of product of roots :

[tex]\qquad \sf  \dashrightarrow \: \cfrac{c}{a} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cfrac{ - 7}{3} [/tex]

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