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  • 12-08-2019
  • Mathematics
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What is the solution to 3x^2-2+4=0

Please explain answer. I'm taking a practice test and don't understand this.

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marcthemathtutor
marcthemathtutor marcthemathtutor
  • 12-08-2019

Answer:

There are no real solutions

Step-by-step explanation:

Recall that for a quadratic equation in the form:

ax² + bx + c = 0

using the quadratic formula, that the discriminant of the formula is given by the following expression

Discriminant = b² - 4ac

If b² - 4ac < 0 ----> No real roots

If b² - 4ac > 0 ----> Two real roots

If b² - 4ac = 0 ----> One real roots

In our case, a = 3, b = -2 and c = 4

b² - 4ac = (-2)² - 4(3)(3) = 4 - 36 = -32 (which is <0)

Hence there are no real roots.

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