1.

2xsquare +5x- 3=0 solve by completing square

Answer»

Step-by-step explanation:

Solution :-

Here, we have

⇒ 2x² - 5X + 3 = 0

Dividing equation by 2, we get

⇒ x² - 5/2x + 3/2 = 0

Shifting the constant TERM on RHS

⇒ x² - 5/2x = - 3/2

Adding (1/2 coefficient of x)² on both sides

⇒ (x - 5/4)² = 25/16 - 3/2

⇒ (x - 5/2)² = 1/16

⇒ x - 5/4 = ± 1/4 or x = 5/4 - 1/4 = 4/4

⇒ x = 3/2, 1

Hence, the roots of the equation 2x² - 5x + 3 = 0 are 3/2 and 1.

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