Question

Answer with at least 3-4 sentences. No fake answers lots of points

The discriminant is a way to determine the number of solutions a quadratic would have WITHOUT solving it. What is the discriminant of the below quadratic and what does that mean?

x2−4x+5=0

Answer 1

4

Explanation:

Calculation of the discriminant of the polynomial : x⋅2−4⋅x+5

1. Applying the formula to calculate the discriminant Δ=b2−4⋅a⋅c with : a=0, b=−2,c=5

2. Δ=(−2)2−4⋅(0)⋅(5)=4=4

3. The discriminant of the polynomial x⋅2−4⋅x+5 is equal to 4