Assuming that the roots of the given quadratic equation are \alpha \beta obtain the sum and product of the roots {3x}^(2) + 7x - 6 = 0 ​

Question

Assuming that the roots of the given quadratic equation are


`\alpha \beta`
obtain the sum and product of the roots

`{3x}^(2) + 7x - 6 = 0`
​

Answer 1

Sum = -7/3 and the product = -2.

Explanation:

Consider the equation ax^2 + bx + c = 0 if the roots are α and β then

The sum α + β = -b/a and the produce αβ = c/a.

So for the given equation:

The sum = -7/3 and the product = -6/3 = -2.