How do you know if a quadratic equation will have one, two, or no solutions?

1. Read Ch. 11 (attached)of Introductory and Intermediate Algebra.
· Post a response to the following: 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.
· Consider responding to your classmates by creating an equation from their solutions. Show that
your equation should yield the appropriate number of solutions. If other equations exist with the
same solution, provide the alternate equation and provide an explanation. You may want to view
responses to the solutions you posted and guide your classmate's if necessary.

Solution Summary

The number of solutions to quadratic equations is discussed. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

1. How do you know if a quadratic equation will have one, two or no solutions? 2. How do you find a quadratic equation if you are only given the solution? ...

... Answer: q = -1/2, ¼. Solution: ... This solution is comprised of a detailed explanation to answer radical expressions, equations, and quadratic formula. ...

... of numbers find a quadratic equation with integral ... discriminant to determine whether each quadratic polynomial can be factored, then factor the ones that are ...

... Number of real solutions: One. 48. ... &. % ! #, 4!. ∶ 3 − 4 × 1 × −2 = 17. ... 34 !5 &352# 3 &: 7 3 The two real roots of the quadratic equation are given ...

... Let us take a general quadratic equation: ... If D = 0 then equation will have two equal solutions or you can say one solution depends on the ... Let us take equation. ...

... If the discriminant is less than 0, the quadratic equation has no ... is equal to 0, the equation has one real solution... 1 − 4 *1*1 = −3 < 0 The equation has no ...

... (1) How do you know if a quadratic equation will have one, two, or no solutions? (2) How do you find a quadratic equation if you are only given the solution? ...

... This provides examples of solving quadratic equations, including imaginary solutions. ... 1 ± 17 x 2 + x = 4 or , x 2 + x − 4 = 0 ∴x = = = 2 .1 2 2. ...