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in Quadratic Equations by (15 points)
edited by

Find the discriminate of quadratic equation 3x2 - 2\(\sqrt2\) - 2\(\sqrt3\) = 0.

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1 Answer

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Given quadratic equation is

3x2 - 2\(\sqrt2\) - 2\(\sqrt3\) = 0

By comparing with ax2 + bx + c = 0 we get

a = 3, b = -2\(\sqrt2\) and c = -2\(\sqrt3\)

\(\therefore\) Discriminant = b2 - 4ac

 = (-2\(\sqrt2\))2 - 4 x 3 x - 2\(\sqrt3\)

 = 8 + 24\(\sqrt3\) 

= 8(1 + 3\(\sqrt3\)) > 0

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