Q. 24

# Solve the following quadratic equations by factorization:

In factorization, we write the middle term of the quadratic equation either as a sum of two numbers or difference of two numbers such that the equation can be factorized.

4(x2 + 3x + (x – 1)(x – 2)) = 17(x2 – 2x)

4(x2 + 3x + x2 – 3x + 2) = 17(x2 – 2x)

8x2 + 8 = 17x2 – 34x

9x2 – 34x – 8 = 0

9x2 – 36x + 2x – 8 = 0

9x(x – 4) + 2(x – 4) = 0

(9x + 2)(x – 4) = 0

x = -2/9, 4

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 Equations51 mins
Getting Familiar with Nature of Roots of Quadratic Equations51 mins
Quadratic Equation: Previous Year NTSE Questions32 mins
Understand The Concept of Quadratic Equation45 mins
Champ Quiz | Quadratic Equation33 mins
Balance the Chemical Equations49 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