# Solve each of the following quadratic equations:x2 – 3√5x + 10 = 0 Using the splitting middle term - the middle term of the general equation is divided in two such values that:

Product = a.c

For the given equation a = 1 ;b = -3√5 ;c = 10

= 1.10 = 10

And either of their sum or difference = b

= -3√5

Thus the two terms are -2√5 and -√5

Sum = -2√5-√5 = -3√5

Product = -2√5. -√5 = 2.5 = 10 using 5 = √5. √5  (On using: 10 = 2.5 = 2.√5 √5)

x(x-2√5)-√5 (x-2√5) = 0

(x-√5)(x-2√5) = 0

(x-√5) = 0 or (x-2√5) = 0

x = √5 or x = 2√5

Hence the roots of equation are √5 or 2√5

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Get To Know About Quadratic Formula42 mins  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 