Question

For the followitig quadratic equation, find the discriminant. 3x^(2)+48x+199=7

Answer 1

Δ = 0

Explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the discriminant is

Δ = b² - 4ac

given

3x² + 48x + 199 = 7 ( subtract 7 from both sides )

3x² + 48x + 192 = 0 ← in standard form

with a = 3 , b = 48 , c = 192

then the discriminant is

b² - 4ac

= 48² - (4 × 3 × 192)

= 2304 - 2304

= 0