Question

Find the sum and the product of the roots of the equation:

x^2−37x+27=0

Answer 1

Sum of the Roots = 37

Product of the Roots = 27

Explanation:

Here, the given expression is
`x^(2)  - 37x + 27 = 0`

Now the general Quadratic Equation is of the form:

`ax^(2)  + bx + c = 0`

Here, Sum of the Roots =
`-((b)/(a) )`

and the Product of the Roots =
`((c)/(a) )`

So, comparing the general equation with the given equation, we get:

a = 1, b = -37 and c = 27

So, Sum of the Roots =
`-((-37)/(1) )` = 37

and the Product of the Roots =
`((27)/(1) )` = 27