Assignment:
Q1. Solve by completing the square
m2 - 25 / 2 m = 5 / 2
Q2. The width of a rectangle is 1ft less than the length. The area is 6ft2 find the length and width.
The width is __________ft
The Length is _________ft
Q3. A farmer decides to enclose a rectangular garden, using the side of a bard as one side of the rectangle. What is the maximum area that the farmer can enclose with 100ft of fence. What should the dimensions of the garden be to give this area?
The maximum area that the farmer can enclose with 100ft of Fence is ______sq ft
The dimensions of the garden to give this area is 50 ft by ______ft
Q4. Find the x-intercepts and y –intercepts for f(x) = x2 - 3x + 1
The x intercept(s) is (are) __________
The y intercept(s) is (are) __________
(type an ordered pair. Type an integer or a decimal. Round to the nearest tenth. Use commas to separate answers as needed. Type N if there is no intercept.
Q5. Write a quadriatic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax2 + bx + c = 0 .
The equation is ____________=0
Q6. Determine the nature of the solutions of the equation.
x2 + 1 = 0
a. 2 real soluions
b. 1 real solutions
c. 2 imaginary solutions
Q7. Find the x intercepts of: f(x) = 3x2 - 6
What are the x intercepts___________________
(type an ordered pair. Simplify your answer. Type an exact answer, using radicals as needed. Express complex numbers in terms of i. use a comma to separate answers as needed)
A. Solve 3x2 = 6
B. Find the x-intercepts of f(x) = 3x2 = 6
a) what are the solutions?
X=________________
(type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. use a comma to separate answers as needed)
b) What are the x intercepts?
_______________________
(type an ordered pair, type an exact answer using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. use a comma to separate answers as needed. Type N if there is no x intercepts)
Q8. A student opens a mathmatics book to two facing pages. The product of the page numbers is 110. Find the page numbers.
The first page is_____
The second page is _________
Provide complete and step by step solution for the question and show calculations and use formulas.