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Find the sum and product of the roots.
3x^2 - 4x - 7 = 0

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{ \qquad\qquad\huge\underline{{\sf Answer}}}

Here we go ~

The given quadratic equation is in form :


\qquad \sf  \dashrightarrow \: a {x}^(2) + bx + c = 0

and here,

  • a = 3

  • b = -4

  • c = -7

As we know, Sum of roots equals :


\qquad \sf  \dashrightarrow \: - \cfrac{b}{a}


\qquad \sf  \dashrightarrow \: - \cfrac{ (- 4)}{3}


\qquad \sf  \dashrightarrow \: \cfrac{ 4}{3}

And that of product of roots :


\qquad \sf  \dashrightarrow \: \cfrac{c}{a}


\qquad \sf  \dashrightarrow \: \cfrac{ - 7}{3}

User Julien Malige
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