Discriminant is 49
Nature of roots are real, rational, unequal
Step-by-step explanation:
To determine the discriminant, you can use this formula D=b²-4ac.
First you need to find the value of a,b, and c or the Coefficient.
a=1
b=9
c=8
Then solve.
D=b²- 4ac
= 9² - 4 (1)(8)
= 81 - 32
D= 49
To determine the nature of roots.
If the discriminant is greater than 0, the roots are real, unequal and rational or irrational. (To determine if rational, must the discrimant is perfect square and irrational if not.)
If the discriminant is less than 0, the roots are non-real and imaginary.
If the discriminant is equal to 0, the roots are real, rational, and equal.
