What is the value of the discriminant?

2K2 = 10k - 2

84

Step-by-step explanation:

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

Then the discriminant is Δ = b² - 4ac

2k² = 10k - 2 (subtract 10k - 2 from both sides)

2k² - 10k + 2 = 0 ← in standard form

with a = 2, b = - 10 and c = 2, thus

b² - 4ac = ( - 10) ² - (4 * 2 * 2) = 100 - 16 = 84