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

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

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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±sqrtb2 - 4ac)/(2a)`

`⇒ x = (-1±sqrt(1-32))/4`

`⇒ x = (-1±sqrt(-31))/4`

The square of a number can never be negative.

∴There is no real solution of this equation.

Concept: Solutions of Quadratic Equations by Completing the Square
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APPEARS IN

NCERT Class 10 Maths
Chapter 4 Quadratic Equations
Exercise 4.3 | Q 2.4 | Page 87
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