Find the roots of the equation 2x² - 5x + 3 = 0, by factorisation

Solution:

Let us find the roots by splitting the middle term.

⇒ 2x² - 5x + 3 = 0

Split bx into such a way that it is equal to a×c.

- 5 can be split into - 2 and - 3. [ ∵ (- 2) × (- 3) = 6]. 

⇒ 2x² - 5x + 3 can be written as 

⇒ 2x² - 2x - 3x + 3 

Taking out the common factors

⇒ 2x (x - 1) - 3(x - 1)

⇒ (2x - 3)(x - 1)

Put the both the factors equal to 0

⇒ 2x - 3 = 0 and x - 1 = 0. 

⇒ x = 3/2 and x = 1 are the solutions of the equation. 

The roots of the equation 2x² - 5x + 3 = 0 are 3/2 and 1 which satisfies the equation

☛ Check: NCERT Solutions for Class 10 Maths Chapter 4

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Find the roots of the equation 2x² - 5x + 3 = 0, by factorisation

Summary:

The roots of the equation 2x² - 5x + 3 = 0, by factorisation are 3/2 and 1 which satisfies the equation

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