SOLUTION: Use the discriminant to determine whether the quadratic equation below has one real number solution, two real number solutions, or two complex number solutions.
100x^2-240x+144=
Algebra.Com
Question 329292: Use the discriminant to determine whether the quadratic equation below has one real number solution, two real number solutions, or two complex number solutions.
100x^2-240x+144=0
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
For any quadratic polynomial equation of the form:
Find the Discriminant, 
and evaluate the nature of the roots as follows:
Two real and unequal roots. If 
is a perfect square, the quadratic factors over 
.
One real root with a multiplicity of two. That is to say that the trinomial is a perfect square and has two identical factors.
A conjugate pair of complex roots of the form 
where 
is the imaginary number defined by 
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
Use the discriminant to determine whether the quadratic equation below has one real... (answered by Fombitz)
use the discriminant to determine whether(((x^2-6x=-15)))has one real solution, two real... (answered by ichudov)
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 how many real number solutions the quadratic equation... (answered by stanbon)
Determine whether the equation has two distinct real number solutions, one real numbers... (answered by checkley77,solver91311)
Determine whether the equation has two distinct real number solutions, one real numbers... (answered by dabanfield)
Determine whether the equation has two distinct real number solutions, one real numbers... (answered by checkley77)
Consider the equation 4x^2 – 4x + 5 = 0.
(i) Compute the discriminant, b2 – 4ac, and... (answered by Nate)