Which two values of x are the roots of the polynomial below? x^2+5x+11

 The roots of the given polynomial are

Step-by-step explanation:  We are given to find the two values of x that are the roots of the following quadratic polynomial:

To find the roots, we must have

We know that

the solution set of quadratic equation of the form is given by

From equation (i), we have

a = 1,  b = 5   and   c = 11.

Therefore, the solution of equation (i) is given by

Thus, the roots of the given polynomial are

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)

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