Answer:
x = 5/2 + sqrt(17)/2 or x = 5/2 - sqrt(17)/2
Step-by-step explanation:
Solve for x:
x^2 - 5 x + 2 = 0
Subtract 2 from both sides:
x^2 - 5 x = -2
Add 25/4 to both sides:
x^2 - 5 x + 25/4 = 17/4
Write the left hand side as a square:
(x - 5/2)^2 = 17/4
Take the square root of both sides:
x - 5/2 = sqrt(17)/2 or x - 5/2 = -sqrt(17)/2
Add 5/2 to both sides:
x = 5/2 + sqrt(17)/2 or x - 5/2 = -sqrt(17)/2
Add 5/2 to both sides:
Answer: x = 5/2 + sqrt(17)/2 or x = 5/2 - sqrt(17)/2
The number of children who contribute toward the present is represented as
The cost of the present is 120 and the children split the cost evenly between them. The expression for this is
Liam has to give
towards the present
Liam has 250 with him
If he gives
away, then the money he has left is:
Given:
Length = x + x + 3 = 2x + 3
Width = 2 + x
Area = length * width
91 ft² = (2x + 3) (2+x)
91 = 4x + 2x² + 6 + 3x
0 = 2x² + 7x + 6 - 91
0 = 2x² + 7x - 85
(2x + 17) ( x - 5)
x = -17/2 or x = 5
Let x = 5 ;
length = 2x + 3 = 2(5) + 3 = 13
width = 2 + x = 2 + 5 = 7
Area = 13 x 7 = 91
Perimeter = 2(length + width)
Perimeter = 2(13 + 7)
Perimeter = 2(20)
Perimeter = 20 feet of fencing
Answer:
Step-by-step explanation: