Evaluate the discriminant of each equation. Tell how many solutions each equation has and whether the solutions are real or imaginary.

4x^2 + 20x + 25 = 0

D = 0

one real solution

Step-by-step explanation:

Given equation is:

4x²+20x+25 = 0

general quadratic equation is ax²+bx+c = 0

the formula to find discriminant is:

D = b²-4ac

If D = 0 then quadratic equation will have one real solution.

comparing given equation with general equation, we get

a = 4, b = 20 and c = 25

putting above values in formula of discriminant, we get

D = (20) ²-4 (4) (25)

D = 400-400

D = 0

If D = 0 then quadratic equation will have one real solution.

hence, given equation have one real solution.

Since the discriminant is zero, there is one real solution.