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

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Question

Find the roots of the quadratic equations 2x2 – 7x + 3 = 0 by applying the quadratic formula.

Solution

2x2 – 7x + 3 = 0

On comparing this equation with ax2 + 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`

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 (Latest))
Chapter 4: Quadratic Equations
Exercise 4.3 | Q: 2.1 | Page no. 87
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Find the roots of the quadratic equations 2x^2 – 7x + 3 = 0 by applying the quadratic formula. Concept: Solutions of Quadratic Equations by Completing the Square.
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