Answer:
x = 2 + √3 and
x = 2 - √3
Step-by-step explanation:
Please use " ^ " to denote exponentiation: x^2 - 4x + 1 = 0.
Here you have multiple choices of methods of solution:
quadratic formula, completing the square, graphing, and so on.
If we complete the square, then: x^2 - 4x + 1 = 0 becomes
x^2 - 4x + 4 - 4 + 1 = 0, or
(x - 2)^2 = 3
Taking the square root of both sides, we get x - 2 = ±√3, so that the roots are:
x = 2 + √3 and
x = 2 - √3
Answer:
34 Step-by-step explanation:
Answer:
Every 200 visitors, the visitor will receive all 4 gifts.
Step-by-step explanation:
With the given numbers, the lowest common number would be 200.
Answer:
y = 6x² -13x -5
Step-by-step explanation:
(1,-12) (2,-7) (5,80)
y = ax² + bx + c
-12 = a*1² + b*1 + c = a+b+c (1)
-7 = 4a + 2b + c (2)
80 = 25a + 5b + c (3)
(2)-(1): 3a + b = 5 (4)
(3)-(2): 21a + 3b = 87 (5)
(4)*3: 9a + 3b = 15 (6)
(5)-(6): 12a = 72 a = 6
(4) b = -13
(2) c = -5
