Find the roots of the quadratic equations 2x^{2} – 7x + 3 = 0 by applying the quadratic formula.

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#### Solution

2x^{2} – 7x + 3 = 0

On comparing this equation with ax^{2} + bx + c = 0, we get

a = 2, b = -7 and c = 3

By using quadratic formula, we get

`x = -b±sqrt(b2 - 4ac)/(2a)`

`⇒ x = 7±sqrt(49 - 24)/4`

`⇒ x = 7±sqrt25/4`

`⇒ x = 7±5/4`

`⇒ x = (7+5)/4 `

`⇒ x = 12/4 " or " 2/4`

`∴ x = 3 " or " 1/2`

Concept: Solutions of Quadratic Equations by Completing the Square

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