Solving Quadratic Equations

Solve 3x^2 - 2x = 8

Solve by the method of your choice.

Suzie solves the equation below: $$x^2+4x-12=2$$ $$(x-2)(x+6)=2$$   by setting  $$x-2=0$$ and $$x+6=0$$ .  Her solutions are  $$x=2$$ and $$x=-6$$ . Is Suzie correct? Why or why not?

Solve the following quadratic equation: $$4x^2-9=0$$  

Solve the following quadratic equation: $$x^2-13x-30=0$$  

What value of c would make this a perfect sqaure trinomial?
x² +8x + c

What is the common root of the quadratic equations $$x^2\ -\ 4\ =\ 0\ and\ x^2\ +\ 2x\ =\ 0$$  ?

If - 1 is one of the roots of the equation, $$3x^2\ +\ 2x\ -\ 1\ =\ 0$$  , then what is the other root of the equation?

Determine the values of a, b, and c for the quadratic equation: $$4k^2=3+8k$$  

Given this graph is the function of y=x^2-2x-8 , what is the solution to x^2=2x+8 ?