Question

~~~~~~~~FAN AND MEDAL!~~~~~~~~~~~~~~~~~~~
What are the exact solutions of x2 − 3x − 1 = 0?

Answer 1

Have you considered the Quadratic Formula? Maybe Completing the Square?

Answer 2

I'm not good at it :(

Answer 3

Well, now is the time. It's really the same thing. Shall we use the formula or the process to build the formula? Your choice.

Answer 4

Use the formula :)

Answer 5

Okay, it uses parameters a, b, and c. Can you identify those in the given equation?

Answer 6

yeah wouldn't that be x^2 the 3x and 1

Answer 7

You have the right idea, but cut off too large of pieces. We need ONLY the coefficients.

From the x^2 term, we get
a = 1

From the x term, we get
b = -3

From the constant term, we get
c = -1

It's important to get the signs, and not just the numbers.

So far, so good?

Answer 8

Okay yup we're getting there

Answer 9

Okay, now your challenge for the evening. Let's see you write out the quadratic formula!

Go!!!!!

Answer 10

lolll idk the formula

Answer 11

Well, then why did you pick the method? That makes no sense.

\(x = \dfrac{-b\pm\sqrt{b^{2} - 4ac}}{2a}\)

I was going to help you with the substitution step, but since you made me write the formula, I await with eagerness your best substitution efforts.

Answer 12

lol what? i didnt know what u meant when u were letting me choose but anyway