The equation $5x^2-2x+3$ has-
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Five distinct real roots
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Three distinct real roots and two complex roots
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One distinct real root and two complex roots
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One distinct real root and four complex roots
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None of these
Reveal answer
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Correct answer
AI explanation
The expression 5x^2 - 2x + 3 is a quadratic polynomial rather than an equation, meaning it has no roots unless it is set to equal zero or another value. If one assumes the intended meaning was the equation 5x^2 - 2x + 3 = 0, calculating the discriminant gives (-2)^2 - 4(5)(3) = -56. A negative discriminant indicates two complex and zero real roots, a condition not listed among the provided choices. Therefore, none of the given options accurately describe the roots.