Answer:
Step-by-step explanation:
Given the quadratic expression x^2-2x-24, to get the values of the variable for which the expression is defined as a real number, we need to factorize the expression first as shown;
= √x^2-2x-24 = 0
= √x^2-6x+4x-24= 0
=√x(x-6)+4(x-6) = 0
=√(x+4)(x-6) =0
square both sides
= (x+4)(x-6) = 0²
(x+4)(x-6) = 0
(x+4) = 0 and (x-6) = 0
x = -4 and x = 6
Hence the interval of notation is at x = -4 and 6
