Use the discriminant to determine the nature of the roots for 16𝑥^2 + 25 = 40x
The quadratic equation is in the form ax^2 + bx + c = 0, where a = 16, b = -40, and c = 25.
The discriminant, denoted as Δ, is given by the formula Δ = b^2 - 4ac.
Substituting the values we have:
Δ = (-40)^2 - 4(16)(25)
= 1600 - 1600
= 0
Since the discriminant is equal to 0, it means that there is only one real root for the quadratic equation.