Question

Find the sum and the product of the roots of the equation: x^2−37x+27=0

Answer 1

Answer:

Sum of the Roots = 37

Product of the Roots = 27

Step-by-step 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 = $-(\frac{b}{a} )$

and the Product of the Roots =  $(\frac{c}{a} )$

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

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

So, Sum of the Roots = $-(\frac{-37}{1} )$  =  37

and the Product of the Roots =  $(\frac{27}{1} )$ = 27