x= 3+√5/4,3-√5/4
Step-by-step explanation:
1.In general, given ax^2+bx+c=0, there exists two solutions where:
x= -b+√b^2 - 4ac/2a, -b-√b^2-4ac/2a
2.In this case, a=4, b=-6 and c=1.
x=6+√(-6)^2-4×4/2×4, 6-√(-6)^2-4×4/2×4
3.Simplify.
x=6+2√5/8, 6-√5/8
4.Simplify solutions.
x=3+√5/4, 3-√5/4
Answer:
f(x)
Step-by-step explanation:
f(x)=x-1/x+5
y=x-1/x+5
xy+5y=x-1
xy-x=-1-5y
x(y-1)=1-5y
x=-1-5y/y-1
x=-5
Both 9 and 12 can be divided by 3.
Divide both 9 and 12 by 3.
9/3=3 12/3=4
9/12=3/4
3/4 is the simplest form of 9/12
Answer:
L = 22 ft
Step-by-step explanation:
Let L and W represent the length and width respectively.
L = 4W, or W = L/4. Use W = L/4 because we want to solve for W, not for L.
Area of a rectangle: A = L · W
Here, A = L · L/4 = 121 ft²
Mult. both terms by 4 removes the fraction:
L² = 484
Finding the square root of this result: L = 22
The length of the rect. is 22 ft.
Answer:
x = 1
Step-by-step explanation:
5x + 17 = 1/2[(73x + 5) - (23x - 5)]
5x + 17 = 1/2[37x + 5 - 23x + 5]
5x + 17 = 1/2[14x + 10]
5x + 17 = 1/2 * 2(7x + 5)
5x + 17 = 7x + 5
5x - 17x = 5 - 17
-12x = - 12
x = - 12/-12
x = 1
