Question

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

Answer 1

`{ \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}`