Use the method of completing the square to solve x2 - 6x + 1 = 0. Simplify your solutions.
1 answer:
Answer:
x = 3 ± 2
Step-by-step explanation:
given
x² - 6x + 1 = 0 ( subtract 1 from both sides )
x² - 6x = - 1
To complete the square
add (half the coefficient of the x- term)² to both sides
x² - 6x + (- 3)² = - 1 + (- 3)²
x² - 6x + 9 = - 1 + 9
(x - 3)² = 8 ( take the square root of both sides )
x - 3 = ± = ± 2
( add 3 to both sides )
x = 3 ± 2
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Answer:
y +5 = (-2/3)(x -4)
Step-by-step explanation:
The point-slope form of an equation of a line with slope m through point (h, k) is ...
... y -k = m(x -h)
You have (h, k) = (4, -5) and a slope the same as that of the parallel line, m = -2/3. Then the equation is ...
... y -(-5) = (-2/3)(x -4)
... y +5 = (-2/3)(x -4)
