Solve Quadratic Equations (show all work)

(9) The solution is x = 1 and x = 5

(10) The solution is x = 12 and x = -8

Explanation:

(9) The given expression is

We need to determine the solution of the equation.

The term can be expanded using the formula,

Thus, we have,

Solving the quadratic equation, we get,

The solution of the quadratic equation are x = 5 and x = 1

(10) The given expression is

We need to determine the solution of the equation.

Let us solve the equation using the quadratic formula,

where

Thus, we have,

Simplifying the terms, we have,

Thus, the roots are

 and  

 and  

 and  

Thus, the solution is x = 12 and x = -8

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)