Question

solve for x the quadratic equation x^2 - 4x - 8=0​

Answer 1

Step-by-step explanation:

x2 – 4x – 8 = 0

x2 – 4x = 8

x2 – 4x + 4 = 8 + 4

x2 – 4x + 4 = 12

(x – 2)2 = 12

Now I can square-root both sides of the equation, simplify, and solve:

Then the solution is

\begin{lgathered}x = 2 + 2 \sqrt{3} \\ (x - 2) ^{2} = 12 \\ \sqrt{(x - 2) ^{2} } = \sqrt{12} \\ x - 2 = \sqrt{4.3} \\ = 2 \sqrt{3} \\ x = 2 + 2 \sqrt{3}\end{lgathered}

x=2+2

3

(x−2)

2

=12

(x−2)

2

=

12

x−2=

4.3

=2

3

x=2+2

3