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)
Answer:
18%
Step-by-step explanation:
Percent change can be found using the following formula:
Original represents the initial cost where new represents the new cost. We multiply the answer by 100 to get the percentage:
= 18%
2(x4) = 35 - (7-4x)
+4x
2(x8)= 28
/2 /2
8x = 14
Answer:
A = 900in²
Perimeter 120in
Using the formulas
A = a²
P = 4a
Step-by-step explanation:
Solving for A:
A = 1/16 P² = 1/16 · 120² = 900in²
