Yes, since finding the roots is easy when we familiarize ourselves with the quadratic formula
Wherein, the expression b²-4ac (radicant) is called the discriminant. if ax²+bx+c=0, where a,b,c are real numbers, then the discriminant D is D=b²-4ac; which is our formula for finding its roots.
You may easily obtain the nature of roots after solving the given formula based on the ff;
Nature of roots:
1.) If D is a positive perfect square, the roots are rational and unequal. (i.e 36)
2.) If D is a positive non-perfect square, the roots are irrational and unequal. (i.e 29)
3.) If D is a zero (0), the roots are rational and equal.
4.) If D is a negative number, the roots are imaginary. (i.e -17)
Ex. x² + 5x + 6 = 0
a=1 b=5 c=6
D= (5)²-4(1)(6)
D= (5)²-24
D= 25-24
D=1 Nature of roots: Irrational and unequal
I hope this helps, I added additional information incase you don't understand!^^
Answers & Comments
Answer:
Yes, since finding the roots is easy when we familiarize ourselves with the quadratic formula
Wherein, the expression b²-4ac (radicant) is called the discriminant. if ax²+bx+c=0, where a,b,c are real numbers, then the discriminant D is D=b²-4ac; which is our formula for finding its roots.
You may easily obtain the nature of roots after solving the given formula based on the ff;
Nature of roots:
1.) If D is a positive perfect square, the roots are rational and unequal. (i.e 36)
2.) If D is a positive non-perfect square, the roots are irrational and unequal. (i.e 29)
3.) If D is a zero (0), the roots are rational and equal.
4.) If D is a negative number, the roots are imaginary. (i.e -17)
Ex. x² + 5x + 6 = 0
a=1 b=5 c=6
D= (5)²-4(1)(6)
D= (5)²-24
D= 25-24
D=1 Nature of roots: Irrational and unequal
I hope this helps, I added additional information incase you don't understand!^^
#CarryOnLearning