Consider 8x2 - 48x = -104. Write the equation so that a = 1: x2 + __ = __

Complete the square:
x² - 6x + __ -13 + __ = __

Factor the trinomial and simplify:
(x + __ )² = __

Use the square root property of equality to solve (x-3)² = -4.
The solutions are _.

Step-by-step explanation:

Quadratic Equation Solving

We have the equation:

Divide by 8:

Now complete the squares so the left side is a perfect square of a binomial:

Factoring the perfect square:

Taking the square root:

The square root of a negative number is an imaginary number:

Solving for x:

The solutions are:

14

step-by-step explanation: