Question

solve for ( x ) using the square root property. ( t^2 = 169 ) ( t = ) entry tip: do not use a decimal approximation for square roots. to enter a number like ( 5sqrt{7} ), type ( 5^*sqrt(7) ). preview your answer before submitting! furthere tip: write your answers as a list, with your answers separated by (a) comma(s). for example, if you get ( 4 ) and ( -\frac{2}{3} ) as your answers, then enter ( 4, -2/3 ) in the box. question help: message instructor

Explanation:

Step1: Apply square root property

The square root property states that if \( t^2 = a \) (where \( a\geq0 \)), then \( t=\pm\sqrt{a} \). For the equation \( t^2 = 169 \), we apply this property.
So, \( t=\pm\sqrt{169} \)

Step2: Simplify the square root

We know that \( 13\times13 = 169 \) and \( (- 13)\times(-13)=169 \), so \( \sqrt{169}=13 \) and \( -\sqrt{169}=- 13 \). Thus, \( t = 13,-13 \)

Answer:

13, -13