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

Sum

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

5x2 + 13x + 8 = 0

#### Solution

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 of a Quadratic Equation
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#### APPEARS IN

NCERT Mathematics Exemplar Class 10