SOLUTION: How do I know if the quadratic equation has two real solutions, a double root, or no real solution, without solving the equation in a discriminant way? here are some examples 2

Algebra.Com
Question 1197405: How do I know if the quadratic equation has two real solutions, a double root, or no real solution, without solving the equation in a discriminant way? here are some examples
2a2+3a+1=0
2)2a(a - 3) - 3=3
3a2 - 2a(a - 2)2 - 4=0

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Why without discriminant?
Could you factorize your equations?


Your last equation is not quadratic.
3a^2-2a(a-2)^2-4=0
3a^2-2a(a^2-4a+4)-4=0
3a^2-2a^3+8a^2-8a-4=0
-2a^3+11a^2-8a-4=0
3a^3-11a^2+8a+4=0

RELATED QUESTIONS

Use the determinant to determine whether the quadratic equation has two unequal real... (answered by stanbon)
use the discriminant to determine whether the quadratic equation has two unequal real... (answered by Alan3354,lwsshak3)
Use the discriminant to determine whether the quadratic equation has two unequal... (answered by Alan3354,ikleyn,greenestamps)
Use the discriminant to determine whether each quadratic equation has two unequal real... (answered by ikleyn,greenestamps)
My daughter, has been having trouble working on her homework. Currently, 12:05 am and... (answered by solver91311,Alan3354,mathie123)
how do I determine if x^2-3x+3=0 is a quadratic equation has two rational solutions,two... (answered by stanbon)
Without solving, determine the character of the solutions of the equation in the complex... (answered by ikleyn)
Find the discriminant of this equation and tell if the quadratic equation has 2 real... (answered by robertb)
2x^2-4x+3=0 Tell if the equation has two solutions, one solution, or no real... (answered by stanbon)