If the squared difference of the zeroes of the quadratic polynomial x2+kx+30 is equal to 169 find the value of k and the zeroes

ANSWER

Or

EXPLANATION

The given polynomial is

where a=1,b=k, c=30

Let the zeroes of this polynomial be m and n.

Then the sum of roots is

and the product of roots is

The square difference of the zeroes is given by the expression.

From the question, this difference is 169.

This implies that:

We substitute the values of k into the equation and solve for x.

The zeroes are given by;

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)