Question 1

Which formula is shown in the image, and what is it used for?

Accepted Answer

The quadratic formula, used to solve equations of the form $$ax^2 + bx + c = 0$.

Question 2

Given the quadratic equation $$2x^2 - 4x - 6 = 0$, use the quadratic formula to find the solutions for x$.

Accepted Answer

Question 3

If the discriminant $$b^2 - 4ac$ in the quadratic formula is negative, what does this indicate about the solutions to the equation ax^2$ + bx + c = 0$$?

Accepted Answer

There are two complex (non-real) solutions.

Question 4

For the equation $$x^2 - 8x - 2 = 0$, use the quadratic formula to find the exact solutions.

Accepted Answer

$$x = 4 \pm \sqrt{34}$$

Question 5

Which of the following best describes the meaning of the $$\pm$$ symbol in the quadratic formula?

Accepted Answer

It means you add and subtract the square root term to get two possible solutions.

Precalculus Study Guide: Algebraic Expressions, Equations, and Polynomials

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