Question

find the sum and product of roots of the quadratic equation on 3 X square + 7 x + 1 is equal to zero
​

Answer 1

Answer:

sum : a + b = -b/a

then, a = 3,  b = 7

  answer is -7/3.

Product :  a*b =  c/a

then, a = 3,  b = 7 , c = 1

answer is 1/3  

Step-by-step explanation:

Answer 2

Given,

Quadratic equation $\[ = 3{x^2} + 7x + 1\]$

Solution,

Compare the given quadratic equation,$\[3{x^2} + 7x + 1\]$ with standard equation,$\[a{x^2} + bx + c\]$

Values of coefficients,

$\[\begin{array}{l}a = 3\\b = 7\\c = 1\end{array}\]$

Sum of roots,

$\[ = - \frac{b}{a}\]$

$\[ = - \frac{7}{3}\]$

Product of roots,

$\[ = \frac{c}{a}\]$

$\[ = \frac{1}{3}\]$

Hence, the sum and product of roots are $\[\left( { - \frac{7}{3}} \right)\]$ and $\[\left( {\frac{1}{3}} \right)\]$.

Concept,

Consider a quadratic equation, $\[a{x^2} + bx + c = 0\]$

Sum of roots $\[ = - \frac{b}{a}\]$

Product of roots $\[ = \frac{c}{a}\]$