what is discriminant in quadratic form
Answers
Answer:
The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions...
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DISCRIMINANT:-
Discriminant is defined as the b²-4ac form, and tells about the nature of roots.
What is Nature of Roots?
As the word says 'nature' it means that wether the roots are ,equal, real,imaginary.
It tells the state, wether as i mentioned above.
Now,
What kinds of conditions does this follow :-
If, D>=0
It means that roots are real and exists.
b²>=4ac.
Bur if,
D<0
It means that the roots are imaginary and with complex. As it does not cut graph in +ve or -ve axis.
What are a,b,c ?
A quadratix equation is given by ax²+bx+c
the coefficients are a.b,c.
Thus, Discriminant are the basicS of any quadratic equation as this tells there nature as stated above. And ultimately defines the QUADRATIC EQUATION !
ANS.