There's no diagram here so I can't be specific, but I've attached an image.
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:
8.9%
Step-by-step explanation:
3/8 cups of oil
Step by step explanation:
Given : A recipe requires 1/4 cup of oil for every 2/3 cup of water.
To Find: How much oil (in cups) is needed per cup of water?
Solution:
Oil required by 2/3 cup of water = 1/4
Oil required by 1 cup of water = 1/4
= 2/3
= 3/8
Hence cups of oil is needed for per cup of water.