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# Find the root of the quadratic equations by using the quadratic formula in the following: –3x2 + 5x + 12 = 0 - Mathematics

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Sum

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

–3x2 + 5x + 12 = 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 = (-5 +- sqrt(5^2 - 4(-3)(12)))/(2(-3))

= (-5 +- sqrt(169))/(-6)

= (5 +- 13)/6

= 3, -4/3

Concept: Nature of Roots
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#### APPEARS IN

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

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