4) 4x² + 7x + 1 = - 2 Find discriminate

1

Step-by-step explanation:

Given a quadratic equation in standard form : ax² + bx + c = 0 (a ≠ 0)

Then the discriminant is calculated as

Δ = b² - 4ac

Given

4x² + 7x + 1 = - 2 (add 2 to both sides)

4x² + 7x + 3 = 0 ← in standard form

with a = 4, b = 7 and c = 3, thus

b² - 4ac

= 7² - (4 * 4 * 3) = 49 - 48 = 1