Answer:
Sum of the Roots = 37
Product of the Roots = 27
Step-by-step explanation:
Here, the given expression is [tex]x^{2} - 37x + 27 = 0[/tex]
Now the general Quadratic Equation is of the form:
[tex]ax^{2} + bx + c = 0[/tex]
Here, Sum of the Roots = [tex]-(\frac{b}{a} )[/tex]
and the Product of the Roots = [tex](\frac{c}{a} )[/tex]
So, comparing the general equation with the given equation, we get:
a = 1, b = -37 and c = 27
So, Sum of the Roots = [tex]-(\frac{-37}{1} )[/tex] = 37
and the Product of the Roots = [tex](\frac{27}{1} )[/tex] = 27
