Question

Find the discriminant of the following quadratic equations and discuss the
nature of the roots :
24. - 17x +30​

Answer 1

Answer:

See below

Step-by-step explanation:

√{(-17)^2-4*24*30}=√(289-2880)=√2591 i

Both are complex roots.

Answer 2

Step-by-step explanation:

24x²- 17x +30=0

here, a=24, b=-17, c=3.

Discriminant=b²-4ac

=>(-17)²-4(24)(3)=0

=>289-288

=>1>0

The discriminant value is greater than 0

The equation has distinct and real roots.