Find roots of √2x^2 + 7x + 5√2 = 0 by Splitting the middle term - Ex 4.2

part 2 - Ex 4.2, 1 (iii) - Ex 4.2 - Serial order wise - Chapter 4 Class 10 Quadratic Equations

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Ex 4.2, 1 Find the roots of the following quadratic equations by factorization: (iii) √2 x2 + 7x + 5 √2 = 0 √2 x2 + 7x + 5 √2 = 0 We will factorize by splitting the middle term method √𝟐 𝒙𝟐+𝟐𝒙+𝟓𝒙+𝟓√𝟐=𝟎 √2 𝑥2+(√2 ×√2)𝑥+5𝑥+5√2=0 √2 𝑥(𝑥+√2)+5(𝑥+√2)=0 (√𝟐 𝒙+𝟓)(𝒙+√𝟐)=𝟎 So, x = (−5)/√2 𝑎𝑛𝑑 𝑥=−√2 are the roots of equation

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