x^2 - 8x + 5 = 0

(a) find the value of the discriminant

(b) state the number and type of the roots (2 real, 2 imaginary/complex or 1 real).

Respuesta :

Answer:

√44

2 Real Roots

Step-by-step explanation:

Looking at the image attached, the discriminant is the value under the square root.

In the equation given:

a = 1

b = -8

c = 5

The discriminant is therefore:

√(b²- 4ac) = √(-8²- (4*1*5)) = √(64-20) = √44

√44 is a positive number. Because it is positive, there must be 2 real roots.

If it were negative, there would be 2 imaginary roots.

If it were zero, there would be 1 real root.

Ver imagen 6108