Answer:
b
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0 (a ≠ 0 )
the discriminant b² - 4ac informs us about the nature of the roots
• If b² - 4ac > 0 then roots are real and irrational
• If b² - 4ac > 0 abd a perfect square then roots are real and rational
• If b² - 4ac = 0 then roots are real and equal
• If b² - 4ac < 0 the roots are complex
4x² + 6x - 7 = 0 ← is in standard form
with a = 4, b = 6, c = - 7 , then
b² - 4ac = 6² - (4 × 4 × - 7) = 36 - (- 112) = 36 + 112 = 148
since b² - 4ac > 0 then roots are real and irrational
