Homework Help: algebra II

Posted by Nadia on Tuesday, October 7, 2008 at 1:33am.

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? Is it
possible to have different quadratic equations with the same solution? Explain. Provide your
classmate’s with one or two solutions with which they must create a quadratic equation.

algebra II - bobpursley, Tuesday, October 7, 2008 at 2:22am
So what is your thinking? We will be happy to critique your thinking.
algebra II - Anonymous, Tuesday, April 14, 2009 at 7:11pm
Usually a quadratic equation will be squared but it depends on the power of x.
b^2 - 4ac (the discrimant) determines number of solutions.
if > 0, 2 solutions
if = 0, 1 solution (a double solution)
if < 0, 0 (real) solutions (but 2 imaginary)

Given solutions x = 2, x = -4; equation is:
(x-2)(x+4) = 0 or x^2 + 2x - 8 = 0

Different equations only in the sense they are a multiple of the original one. x^2 + 3x + 5 = 0 and
2x^2 + 6x + 10 = 0 are multiples of each onther and have the same solutions.

Answer this Question

Related Questions

algebra II - How do you know if a quadratic equation will have one, two, or no ...
ALGEBRA-MAT117 - How do you know if a quadratic equation will have one, two, or ...
ALGEBRA - How do you know if a quadratic equation will have one, two, or no ...
Algebra - How do you know if a quadratic equation will have one, two, or no ...
Mat/117 DQ1 - How do you know if a quadratic equation will have one, two, or no...
algebra - i have very little information in my math book on the following ...
Algebra II - 1)What method(s) would you choose to solve the equation: x2 + 2x - ...
Algebra Quadratic Equations - When a quadratic equation has one solution, there ...
questions - 1.) Why are there usually two solutions in quadratic equations? 2...
algebra - Why are there two solutions in the quadratic equation and Why do you ...

For Further Reading

First Name:
School Subject:
Answer: