Question

20 points

Answer 1

Answer:

x = 2 + sqrt(2) or x = 2 - sqrt(2) thus B. is your answer

Step-by-step explanation:

Solve for x over the real numbers:

4 x^2 - 16 x + 8 = 0

Hint: | Write the quadratic equation in standard form.

Divide both sides by 4:

x^2 - 4 x + 2 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 2 from both sides:

x^2 - 4 x = -2

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 4 to both sides:

x^2 - 4 x + 4 = 2

Hint: | Factor the left-hand side.

Write the left-hand side as a square:

(x - 2)^2 = 2

Hint: | Eliminate the exponent on the left-hand side.

Take the square root of both sides:

x - 2 = sqrt(2) or x - 2 = -sqrt(2)

Hint: | Look at the first equation: Solve for x.

Add 2 to both sides:

x = 2 + sqrt(2) or x - 2 = -sqrt(2)

Hint: | Look at the second equation: Solve for x.

Add 2 to both sides:

Answer: x = 2 + sqrt(2) or x = 2 - sqrt(2)