Q. 345.0( 1 Vote )

# Find the roots of each of the following equations, if they exist, by applying the quadratic formula:3a2x2 + 8abx + 4b2 = 0, a ≠ 0

Given: 3a2x2 + 8abx + 4b2 = 0

Comparing with standard quadratic equation Ax2 + Bx + C = 0

A = 3a2, B = 8ab, C = 4b2

Discriminant D = B2 – 4AC

= (8ab)2 – 4.3a2. 4b2

= 64 a2b2 – 48a2b2 = 16a2b2 > 0

Hence the roots of equation are real.

= 4ab

Roots are given by

Hence the roots of equation are

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Knowing the Nature of Roots44 mins
Take a Dip Into Quadratic graphs32 mins
Foundation | Practice Important Questions for Foundation54 mins
Nature of Roots of Quadratic EquationsFREE Class
Getting Familiar with Nature of Roots of Quadratic Equations51 mins
Quadratic Equation: Previous Year NTSE Questions32 mins
Champ Quiz | Quadratic Equation33 mins
Balance the Chemical Equations49 mins
Champ Quiz | Quadratic Equation48 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