Answer:
x = 2 + sqrt(5) or x = 2 - sqrt(5)
Step-by-step explanation using the quadratic formula:
Solve for x over the real numbers:
7 (x^2 - 4 x - 1) = 0
Divide both sides by 7:
x^2 - 4 x - 1 = 0
Add 1 to both sides:
x^2 - 4 x = 1
Add 4 to both sides:
x^2 - 4 x + 4 = 5
Write the left hand side as a square:
(x - 2)^2 = 5
Take the square root of both sides:
x - 2 = sqrt(5) or x - 2 = -sqrt(5)
Add 2 to both sides:
x = 2 + sqrt(5) or x - 2 = -sqrt(5)
Add 2 to both sides:
Answer: x = 2 + sqrt(5) or x = 2 - sqrt(5)
The answer is 4/3 and I checked two times
Answer:
3/4 meter
Step-by-step explanation:
Need Common denominators to compare size
2/6 3/4 4/9 which is longer than 2/3?
2/6 compared to 2/3. 2/6 = 2/6 and 2/3 = 4/6.
2/6 < 2/3 so 2/6 is too short
3/4 compared to 2/3 3/4 = 9/12 and 2/3 = 8/12
3/4 > 2/3 so 3/4 is longer than 2/3
4/9 compared to 2/3 4/9 = 4/9 and 2/3 = 6/9
4/9 < 2/3 so 4/9 is too short
