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Factoring Quadratic Equations

For each given pair of numbers find the quadraticequation with integral coefficients that has the numbers as its solutions.
root5,-root5

use the discriminant to determine whether each quadric polynomial can be factored, then factor the ones that are not prime

8x^2-18x-45

6x^2+9x-16

(3a+2)^2-3(3a+2)=10

find all real solutions to each equation

x^4-13x^2+36=0

x^6-3x^3-4=0

find all real solutions to each equation
(x^2+1)^2-11(x^2+1)=-10

find all real solutions to each equation
x-3x^1-2+2=0

Solution Summary

Quadratic equations are factored. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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