Answer:
the roots are complex
Step-by-step explanation:
Given a quadratic equation in standard form ; ax² + bx + c = 0 : a ≠ 0
Then the discriminant Δ = b² - 4ac informs about the nature of the roots
• If b² - 4ac > 0 then roots are real and distinct
• If b² - 4ac = 0 then roots are real and equal
• If b² - 4ac < 0 then roots are complex
5x² + 2x + 3 = 0 ← is in standard form
with a = 5, b = 2, c = 3, thus
b² - 4ac = 2² - (4 × 5 × 3) = 4 - 60 = - 56
Since b² - 4ac < 0 then roots are complex
