Answer:
see explanation
Step-by-step explanation:
Given a quadratic equation in standard form : ax² + bx + c = 0 ( a ≠ 0 )
Then the discriminant Δ = b² - 4ac determines the type of solutions
• 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
Given
x² - x = - 14 ( add 14 to both sides )
x² - x + 14 = 0 ← in standard form
with a = 1, b = - 1, c = 14
b² - 4ac
= (- 1)² - (4 × 1 × 14) = 1 - 56 = - 55
Since b² - 4ac < 0 then roots are not real
