Solve for the sum and product of roots in the given equation:

$$x^2\ -\ 5x\ =\ 9$$

(a)  

Form a quadratic equation by using the given roots:

-5 and 4

(a)  

Form a quadratic equation using the given roots:

1/3 and 6

(a)  

Form a quadratic equation using the roots given:

$$2\ +\ \sqrt[]{8}\ and\ 2\ -\ \sqrt[]{8}$$

(a)  

Form a quadratic equation using the roots given:

$$6\ -\ 3i\ and\ 6\ +\ 3i$$

(a)  

If g and h are the roots of $$x^2\ -\ 5x\ +\ 6\ =\ 0$$ , then solve for the following:

a.) g + h

b.) gh

c.) 1/g + 1/h

d.) g² + h²

e.) g/h + h/g

f.) g³ + h³

(a)  

Given f(x) = x² + 4x - 12 solve for the following:

a.) Vertex

b.) AOS

c.) y-intercept

d.) x-intercept/s

(a)  

Given: f(x) = (x + 3)² - 16

Solve for the following:

a.) vertex

b.) AOS

c.) y-intercept

d.) x-intercept/s

(a)  

Transform: x² + 12x + 40 = 0 into Vertex Form

(a)  

Transform f(x) = 2(x+3)² - 22 into General Form

(a)  

Given f(x) = - (x - 3) (x - 5) solve for the following:

a.) Vertex

b.) AOS

c.) y-intercept

d.) x-intercept/s

(a)  

Transform f(x) = 2x² - 5x - 3 = 0 into Intercept form

(a)  

Given the points (1,5), (-2, 29) and (2,9) write the equation of the parabola in general form

(a)  

Write the intercept form of the given parabola

(a)  

What is the solution set of:

x⁴ - 13x² + 36 = 0

(a)  

What is the solution set of:

x + 4 √x - 12 = 0

(a)  

What is the solution set of:

$$x^{\frac{2}{3}}-2x^{\frac{1}{3}}-\ 8\ =\ 0$$

(a)  

What is the solution set of:

(x² - 7)² - 3 (x² - 7) + 2 = 0

(a)  

Solve and provide the solution set of $$\sqrt[]{x+2}\ +\ 4\ =\ x$$

(a)  

A ribbon that is 20 meters long is to be cut into two parts, in such a way that the ratios constitute to the Golden Ratio. What must be the lengths?

(a)  

Solve for the area of a scalene triangle whose dimensions are 25x15x20 feet

(a)  

In a quiet neighborhood, Dominic lives at his house, with the coordinates (1,3) while his friend Gabriel lives at his house, with the coordinates (7,6). Determine the distance between their houses

(a)  

A ladder whose length is derived as x + 10 ft is positioned at x ft from a wall. If the ladder reaches a height of x + 8 ft along the wall, then solve for x

(a)