Question

Solve 2x^2 - 4x + 8 = 0

Answer 1

divide by 2, and complete the square.

Answer 2

I assume you have covered the quadratic formula already?

Answer 3

2(x^2-2x+4)=0
\[x^2-2x+4\]
use quadratic formula

Answer 4

\[2x^2 - 4x + 8 = 0\]\[2(x^2-2x+4)=0\]\[x^2-2x+4=0\]\[x^2-2x=-4\]\[x^2-2x+1=-4+1\]\[x^2-2x+1=-3\]\[(x-1)^2=-3\]\[x-1=± \sqrt{-3}\]\[x=1± \sqrt{-3}\]

Answer 5

my favorite method:)

Answer 6

\(\bf 2x^2 - 4x + 8 = 0\implies 2(x^2-2x+4)=0\implies {\color{blue}{ 1}}x^2{\color{red}{ -2}}x{\color{green}{ +4}}=0
\\ \quad \\
\textit{quadratic formula}\\

x= \cfrac{ - {\color{red}{ b}} \pm \sqrt { {\color{red}{ b}}^2 -4{\color{blue}{ a}}{\color{green}{ c}}}}{2{\color{blue}{ a}}}\)

Answer 7

uhhhhh

Answer 8

Does x = 6?

Answer 9

(1,6)

Answer 10

hmm what did you get from the quadratic formula or also check SolomonZelman by completing the square

Answer 11

Simplifying
2x2 + -4x + -8 = 0

Reorder the terms:
-8 + -4x + 2x2 = 0

Solving
-8 + -4x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -2x + x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + -2x + x2)' equal to zero and attempt to solve:

Simplifying
-4 + -2x + x2 = 0

Solving
-4 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + -2x + 4 + x2 = 0 + 4

Reorder the terms:
-4 + 4 + -2x + x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -2x + x2 = 0 + 4
-2x + x2 = 0 + 4

Combine like terms: 0 + 4 = 4
-2x + x2 = 4

The x term is -2x. Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = 4 + 1

Reorder the terms:
1 + -2x + x2 = 4 + 1

Combine like terms: 4 + 1 = 5
1 + -2x + x2 = 5

Factor a perfect square on the left side:
(x + -1)(x + -1) = 5

Calculate the square root of the right side: 2.236067978

Break this problem into two subproblems by setting
(x + -1) equal to 2.236067978 and -2.236067978.

Subproblem 1
x + -1 = 2.236067978

Simplifying
x + -1 = 2.236067978

Reorder the terms:
-1 + x = 2.236067978

Solving
-1 + x = 2.236067978

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + x = 2.236067978 + 1

Combine like terms: -1 + 1 = 0
0 + x = 2.236067978 + 1
x = 2.236067978 + 1

Combine like terms: 2.236067978 + 1 = 3.236067978
x = 3.236067978

Simplifying
x = 3.236067978

Subproblem 2
x + -1 = -2.236067978

Simplifying
x + -1 = -2.236067978

Reorder the terms:
-1 + x = -2.236067978

Solving
-1 + x = -2.236067978

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + x = -2.236067978 + 1

Combine like terms: -1 + 1 = 0
0 + x = -2.236067978 + 1
x = -2.236067978 + 1

Combine like terms: -2.236067978 + 1 = -1.236067978
x = -1.236067978

Simplifying
x = -1.236067978

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.236067978, -1.236067978}
Solution
x = {3.236067978, -1.236067978}