# Practice problems on Quadratic Equations

9 practice problems on quadratic equations in the attached file.

8)a)Solve 7x+x(x-2)=0

b)Find the x-intercepts of f(x)=7x+x(x-2)

15) Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function and graph the function: f(x)=2x2-8x+6

(21) Solve by completing the square

(23) Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function and graph the function: f(x)=x2-2X-1

https://brainmass.com/math/basic-algebra/practice-problems-quadratic-equations-174770

#### Solution Preview

The solution file is attached.

8)a)Solve 7x+x(x-2)=0

b)Find the x-intercepts of f(x)=7x+x(x-2)

(a) 7x + x^2 - 2x = 0

x^2 + 5x = 0

x(x + 5) = 0

x = {-5, 0} are the solutions.

(b) The x-intercepts are (-5, 0) and (0, 0).

15) Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function and graph the function: f(x)=2x2-8x+6

f(x) = 2x^2 - 8x + 6 = 2(x^2 - 4x + 4) - 2 = 2(x - 2)^2 - 2

(a) Vertex is (2, -2)

(b) The line of symmetry is x = 2

(c) f(x) has a minimum value of -2 at x = 2

(d) Graph:

16) Find the ...

#### Solution Summary

(23) (a) Vertex is (1, -2)

(b) The line of symmetry is

(c) f(x) has a minimum value of

All 9 questions neatly solved showing all steps.