1.

Find the roots of 2/5 x2 - x – 3/5 = 0 by the factorisation of the corresponding quadratic polynomial.

Answer»

Given, 2/5 x2 - x - 3/5 = 0

⇒ 2x2 - 5x – 3 = 0

By splitting the middle term,

⇒ 2x2 - 6x + x – 3 = 0

Taking common in the expression,

⇒ 2x (x - 3) + 1 (x - 3) = 0

⇒ (2x + 1) (x - 3) = 0

 2x + 1 = 0 and  x – 3 = 0

∴ x = -1/2 and ∴ x = 3



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