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19

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

2x^{2} + 5√3x + 6 = 0

Given:

Comparing with standard quadratic equation ax^{2} + bx + c = 0

Discriminant D = b^{2} – 4ac

=

= 75 – 48 = 27 >

Hence the roots of equation are real.

Roots are given by

Hence the roots of equation are

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