Answer:
x = 3 + sqrt(13) or x = 3 - sqrt(13) or B)
Step-by-step explanation:
Solve for x:
x^2 - 6 x - 4 = 0
Hint: | Solve the quadratic equation by completing the square.
Add 4 to both sides:
x^2 - 6 x = 4
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 9 to both sides:
x^2 - 6 x + 9 = 13
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 3)^2 = 13
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 3 = sqrt(13) or x - 3 = -sqrt(13)
Hint: | Look at the first equation: Solve for x.
Add 3 to both sides:
x = 3 + sqrt(13) or x - 3 = -sqrt(13)
Hint: | Look at the second equation: Solve for x.
Add 3 to both sides:
Answer: x = 3 + sqrt(13) or x = 3 - sqrt(13)
