# The nature of roots of the quadratic equation 4x2 – 12x – 9 = 0 is :A. real and equalB. real and distinctC. imaginary and equalD. imaginary and distinct

The nature of roots of the equation can be found out using the following formula:

b2 – 4ac

When we compare the above quadratic equation with the generalized one we get,

ax2 + bx + c = 0

a = 4

b = -12

c = -9

b2 – 4ac

(-12)2 – (4 × -9 × 4)

144 – (-144)

144 + 144

= 288

Since b2 – 4ac>0, the roots will be real and distinct.

So the correct answer is B [real and distinct].

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Champ Quiz |Revealing the relation Between Zero and Coefficients38 mins  Relation Between zeroes and Coefficients46 mins  Interactive Quiz:Polynomials43 mins  Division Algorithm-130 mins  Relation b/w The Zeroes and Coefficients of Cubic Polynomials54 mins  Revision of Relation Between the Zeroes and Coefficients of Quadratic Polynomial46 mins  Solving Imp. Qs. of Olympiad on Polynomials47 mins  Interactive Quiz - Geometrical Meaning of the Zeroes32 mins  Relationship between Zeroes and Coefficients-238 mins  Quiz - Division Algorithm38 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 