Determine the values of the variable for which the expression is defined as a real number. (Enter your answer using interval notation.) Squareroot (5x2 - 27x + 10)

The expression: sqrt (5 x² - 27 x + 10)

A real number is a square root of a positive number.

x 1/2 = (27 + / - sqrt (729 - 200)) / 10

x 1/2 = (27 + / - 23) / 10

x 1 = 4/10 = 0.4

x 2 = 50/10 = 5

Answer:

The expression is defined as a real number for:

x ∈ ( - ∞, 0.4 ] ∪ [ 5, + ∞).