Without solving, determine the character of the solutions of the equations in the complex number system is C) The equation has two complex solution.
Complex numbers are the numbers that can be expressed inside the form of a+ib where, a, and b are actual numbers, and 'i' is an imaginary quantity known as “iota”. The fee of i = (√-1).
Ultimately the modern terminology emerged in the nineteenth century: "complex number", which means that they include components, real and imaginary. "Imaginary quantity" is used once in a while to indicate a complicated quantity that isn't always actual, or more frequently various whose actual element is zero (a.ok.a "pure imaginary").
In mathematics, a complicated quantity is a detail of a range of gadgets that extends the real numbers with a particular element denoted I, referred to as the imaginary unit and satisfying the equation i² = −1; each complex number may be expressed within the form a + bi, in which a and b are actual numbers.
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Question: without solving, determine the character of the solutions of the equations in the complex number system
[tex]3x^{2} +3x+1 =0[/tex]
Choose the sentence that describes the character of the solution to the quadratic equation.
A) The equation has a repeated real solution
B) The equation has two unequal real solution
C) The equation has two complex solution
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