Question

answer the last question that is blank

Answer 1

The solutions to the given quadratic equation are as follows:

x = 1.10, x = 10.9.

What is a quadratic function?

A quadratic function is given according to the following rule:

$y = ax^2 + bx + c$

The solutions are:

• $x_1 = \frac{-b + \sqrt{\Delta}}{2a}$

• $x_2 = \frac{-b - \sqrt{\Delta}}{2a}$

In which:

$\Delta = b^2 - 4ac$

For this problem, the equation in item D is:

-x² + 12x - 12 = 0

x² - 12x + 12 = 0

Hence the coefficients are:

a = 1, b = -12, c = 12.

Then the solutions to the equation are found as follows:

• Delta = (-12)² - 4 x 1 x 12 = 96

• x1 = 0.5(12 + sqrt(96)) = 10.9

• x2 = 0.5(12 - sqrt(96)) = 1.10

The solutions are:

x = 1.10, x = 10.9.

More can be learned about quadratic functions at https://brainly.com/question/24737967

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