Discriminant and nature of the roots 3x2 – 4x – 2 = 0
5x2 – 1 = 0
2x2 – 5x + 4 = 0
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see explanation

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ) , then the discriminant is

Δ = b² - 4ac

• 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

3x² - 4x - 2 = 0 ← is in standard form

with a = 3, b = - 4, c = - 2 , thus

b² - 4ac = (- 4)² - (4 × 3 × - 2) = 16 - ( - 24) = 16 + 24 = 40

Since b² - 4ac > 0 then roots are real and distinct

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.

10

step-by-step explanation: