In class 10th math of chapter quadratic equations of exercise 4.2 i am confused on factorisation method i want the best solution of this question Find the roots of the following quadratic equations by factorisation:(iii) √2 x2 + 7x + 5√2 = 0

AnilSinghBoraGuru

# Find the roots of the following quadratic equations by factorisation:(iii) √2 x2 + 7x + 5√2 = 0vQ.1(3)

Share

√2

x^{2}+ 7x+ 5√2=0Taking LHS,

=> √2

x^{2 }+ 5x+ 2x+ 5√2=>

x(√2x+ 5) + √2(√2x+ 5)= (√2x+ 5)(x+ √2)The roots of this equation, √2

x^{2}+ 7x+ 5√2=0 are the values of x for which (x– 5)(x+ 2) = 0Therefore, √2

x+ 5 = 0 orx+ √2 = 0=>

x= -5/√2 orx= -√2