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Mathematics

The value of the discriminant of the equation, 3x2+10x+73\sqrt{3}x^2 + 10x + 7\sqrt{3} = 0 is:

  1. 4

  2. 16

  3. -16

  4. -12

Quadratic Equations

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Answer

Comparing 3x2+10x+73\sqrt{3}x^2 + 10x + 7\sqrt{3} = 0 with ax2 + bx + c = 0 we get,

a = 3\sqrt{3}, b = 10 and c = 737\sqrt{3}.

We know that,

⇒ D = b2 - 4ac

⇒ D = (10)2 - 4×(3)×(73)4 \times (\sqrt{3}) \times (7\sqrt{3})

⇒ D = 100 - 84

⇒ D = 16.

Hence, option 2 is the correct option.

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