Answer:
x = -6√3 or 4√3
Step-by-step explanation:
x² + 2√3 x − 72 = 0
Solve with quadratic formula, or completing the square.
To use completing the square, we first add 72 to both sides:
x² + 2√3 x = 72
Take half of 2√3, square it, then add to both sides.
x² + 2√3 + 3 = 75
Factor the perfect square:
(x + √3)² = 75
Solve for x:
x + √3 = ±√75
x + √3 = ±5√3
x = -√3 ± 5√3
x = -6√3 or 4√3
According to Vieta formula, the sum of the roots should equal b/a, and the product of the roots should equal c/a.
-6√3 + 4√3 = 2√3
-6√3 × 4√3 = -72
1. (12) + 4 ≤ 12
16 ≤ 12
Not true
2. 12 ÷ (12) > 12
1 > 12
Not true
3. 12 - (12) ≥ 4
0 ≥ 4
Not true
4. 12(12) < 200
144 < 200
True
Answer:
The AA similarity postulate???
John has : $8.25
Based on the given conditions formulate :
5 + 2 × x = 21.5
5 + 2x = 21.5
2x = 21.5 - 5
2x = 16.5
Divide both sides by 2