Solutions of Quadratic Equations
Not what you're looking for?
1.Determine the number of solutions and classify the type of solutions for each of the following equations. Justify your answer.
a)x^2 + 3x - 15 = 0
b)x^2 + x + 4 = 0
c) x^2 - 4x - 7 = 0
d)x^2 - 8x + 16 = 0
e)2x^2 - 3x + 7 = 0
f)x^2 - 4x - 77 = 0
g)3x^2 - 7x + 6 = 0
h)4x^2 + 16x + 16 = 0
2.Find an equation for which -3 and 4 are solutions.
3.What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.
4.Create a real-life situation that fits into the equation
(x + 3)(x - 5) = 0 and express the situation as the same equation.
5.A rectangular garden has dimensions of 15 feet by 11 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 square feet?
6.A business invests $8,000 in a savings account for two years. At the beginning of the second year, an additional $2,500 is invested. At the end of the second year, the account balance is $11,445. What was the annual interest rate?
3.Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle.
7.The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver, and returns in a total time of 6 hours. What is the speed of the boat in still water?
Purchase this Solution
Solution Summary
All the answers are given complete step by step in an easy to understand manner. Grab the solution and enjoy the learning.
Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Probability Quiz
Some questions on probability
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.