Answer:
see explanation
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 ) , then the discriminant is
Δ = b² - 4ac
• 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 not real
3x² - 4x - 2 = 0 ← is in standard form
with a = 3, b = - 4, c = - 2 , thus
b² - 4ac = (- 4)² - (4 × 3 × - 2) = 16 - ( - 24) = 16 + 24 = 40
Since b² - 4ac > 0 then roots are real and distinct
