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Find the roots of the quadratic equations 2x2 + x – 4 = 0 by applying the quadratic formula. - Mathematics

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Question

Find the roots of the quadratic equations 2x2 + x – 4 = 0 by applying the quadratic formula.

Solution

2x2 + x - 4 = 0

On comparing this equation with ax2 + bx + c = 0, we get

a = 2, b = 1 and c = -4

By using quadratic formula, we get

`x = (-b±sqrt(b2 - 4ac))/(2a)`

`⇒x = (-1±sqrt(1+32))/4`

`⇒x = (-1±sqrt33)/4`

`∴ x = (-1+sqrt33)/4 `

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 (Latest))
Chapter 4: Quadratic Equations
Exercise 4.3 | Q: 2.2 | Page no. 87
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Find the roots of the quadratic equations 2x2 + x – 4 = 0 by applying the quadratic formula. Concept: Solutions of Quadratic Equations by Completing the Square.
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