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
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Find the roots of the following quadratic equations by factorisation:(iii) √2 x2 + 7x + 5√2 = 0vQ.1(3)
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√2 x2 + 7x + 5√2=0
Taking LHS,
=> √2 x2 + 5x + 2x + 5√2
=> x (√2x + 5) + √2(√2x + 5)= (√2x + 5)(x + √2)
The roots of this equation, √2 x2 + 7x + 5√2=0 are the values of x for which (x – 5)(x + 2) = 0
Therefore, √2x + 5 = 0 or x + √2 = 0
=> x = -5/√2 or x = -√2