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Alexxandr [17]
3 years ago
15

Determine the values of the variable for which the expression is defined as a real number. (Enter your answer using interval not

ation.) sqrt x^2-2x-24
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
4 0

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

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