Question

What is the discriminant of the quadratic equation 3 – 4x = –6x2? –68 –56 76 88

Answer 1

- 56

Explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then the discriminant Δ = b² - 4ac

Given

3 - 4x = - 6x² ( add 6x² to both sides )

6x² - 4x + 3 = 0 ← in standard form

with a = 6, b = - 4 and c = 3, thus

b² - 4ac

= (- 4)² - (4 × 6 × 3) = 16 - 72 = - 56