Posted by Donni on Monday, November 15, 2010 at 7:07pm.
i have very little information in my math book on the following questions. can you either tell me the answer or a link where i can find my own answer. thanks
How do you know if a quadratic equation will have one, two, or no solutions?
How do you find a quadratic equation if you are only given the solution?

algebra  Henry, Thursday, November 18, 2010 at 5:34pm
1. b^2 < 4ac: 2 imaginary solutions.
b^2 = 4ac: 1 real solution.
b^2 > 4ac: 2 real soutions.
2. Let's take a given Eq and solution
sets and use the solutions to derive the Eq.
Eq: y = 2x^2 + 5x + 2.
Solution set: x = 1/2, and x = 2.
x = 1/2,
x + 1/2 = 0.
x = 2,
x + 2 = 0.
(x + 1/2) (x + 2) = 0,
Multiply the 2 binomials:
x^2 + 2x + x/2 + 1 = 0,
x^2 + 5x/2 + 1 = 0,
Multiply both sides by 2 to eliminate the fraction and get:
2x^2 + 5x + 2 = 0.
The derived Eq is equivalent to the
given Eq.
Answer This Question
Related Questions
 Family Consumer Sciences  One of the questions on a worksheet I must answer is ...
 precalculus  can you check my answers? Find Pk + 1 if Pk = 7 + 13 + 19 + ...+[6...
 algebra  1)Solve by factoring:5x^2=419x answer=4,1/5 2)Which quadratic ...
 Algebra  I am solving sytems of equations algrbraically. I have tried several ...
 math algebra  Part 1: Which part of the quadratic formula tells you whether the...
 Math  I can't seem remember the rules for this.Can someone please help me with ...
 can you check my answers precalculus  can you check my answers? Find Pk + 1 if ...
 History  What was the background of many women who became leader in social ...
 To NEO LOUIS  Math  I've removed your very complicated post, for which you ...
 words and reference  what do these 2 words mean please.? can you please help ...
More Related Questions