2x2 – 5x + 67 = 0
What would be your first step in completing the square for the equation above?

The first step is to divide all the terms by the coefficient of which is 2.

The solutions to the quadratic equation are:

Step-by-step explanation:

Considering the equation

The first step is to divide all the terms by the coefficient of which is 2.

so

Lets now solve the equation by completeing the remaining steps

Write equation in the form:

Solving for ,

Completing the square

Since, you had required to know the first step in completing the square for the equation above, I hope you have got the point, but let me quickly solve the remaining solution.

For the solution are

Solving

      ∵ Applying imaginary number rule

Similarly, solving

   ∵ Applying imaginary number rule  

Therefore, the solutions to the quadratic equation are:

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."