Answer:
x = 2 + i sqrt(66) or x = 2 - i sqrt(66)
Step-by-step explanation:
Solve for x:
x^2 - 4 x + 70 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 70 from both sides:
x^2 - 4 x = -70
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 = -66
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 2)^2 = -66
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 2 = i sqrt(66) or x - 2 = -i sqrt(66)
Hint: | Look at the first equation: Solve for x.
Add 2 to both sides:
x = 2 + i sqrt(66) or x - 2 = -i sqrt(66)
Hint: | Look at the second equation: Solve for x.
Add 2 to both sides:
Answer: x = 2 + i sqrt(66) or x = 2 - i sqrt(66)
