Question

How do you solve `x^2 - 3x - 3 = -5` using the quadratic formula?

Answer 1

`x = 2, x = 1`

Explanation:

The quadratic formula is always fun! Let's start with it.
`(-b+-sqrt(b^2-(4ac)))/(2a)`

The variables, b a, and c represent the coefficients to the terms you possess in the original equation. `a` representing the coefficient attached to the `x^2` term, `b` representing the coefficient attached to the `x` term, and `c` representing the constant, which is, in your case, 2.

So, with this in hand, we can rewrite the formula to obtain:
`(-(-3)+-sqrt((-3)^2-(4(1)(2))))/(2(1))`

So you simplify to obtain
`(3+-sqrt(1))/(2(1))`

So you get `2` and `1` from + and - the square root, respectively.