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Find the root of the quadratic equations by using the quadratic formula in the following: 5x2 + 13x + 8 = 0 - Mathematics

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Sum

Find the root of the quadratic equations by using the quadratic formula in the following:

5x2 + 13x + 8 = 0

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Solution

The quadratic formula for finding the roots of quadratic equation

ax2 + bx + c = 0, a ≠ 0 is given by,

`x = (-b +- sqrt(b^2 - 4ac))/(2a)`

∴ `x = (-13 +-  sqrt((-13)^2 - 4(5)(8)))/(2(5))`

= `(-13 +- sqrt(9))/10`

= `(-13 +- 3)/10`

= `-1, - 8/5`

Concept: Nature of Roots
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APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 4 Quadatric Euation
Exercise 4.3 | Q 1.(ii) | Page 40
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