Question

Solve x2 + 4x – 4 = 0

Answer 1

Answer:

Quadratic Equations! Yes!

Step-by-step explanation:

Now, there are three methods to solving this:

1.Quadratic Formula

2.Factoring

3. Completing the square

Now, Based on the answers, I think it would be better if we used Quadratic Formula, as you cannot get the answer easily with factoring, and I'm a bit rusty on completing the square.

So, Quadratic Formula! To solve it using this method, we have to find x using this: $x=\frac{-b+-\sqrt{b^{2} -4ac} }{2a}$(the +- before the square root means it could be both positive or negative)

Where a, b are coefficients and c is a term(in a quadratic equation form: $ax^{2} +bx+c=0$)

So, we just have to input the stuff from our equation into the formula!

$x=\frac{-4+-\sqrt{32} }{2}$

Now, we can simplify the square root of 32 into 4 times the square root of 2

$x=\frac{-4+-4\sqrt{2} }{2}$

And, we can divide 2 from it all!

$x=-2+-2\sqrt{2}$

So, there you have it! The Answer is C, or 3.

Hope this helps!