Using the discriminant, determine the number of real solutions. - 4x^2+20x-25=0

A) no real solutions

B) one real solution

C) two real solutions

-4x² + 20x - 25 = 0

The discriminant Δ = b² - 4. a. c, where a = - 4; b = 20 & c = - 25

Then Δ = (20) ² - 4 (-4) (-25)

Δ = 0, since the discriminant = 0, we have one real solution (answer B)

For more info about Δ, If:

Δ > 0, then there are 2 real solutions, x' and x"

Δ = 0, then there are 2 equal real solutions, x' = x"

Δ < 0, then there are no solutions, or 2 imaginary values of x' and x"