s 2 = 169 ⟺ s = − 13 or s = 13 b ec a u se : ( − 13 ) 2 = 169 an d 1 3 2 = 169
169 = s 2
Square-rooting on both sides, we get, 169 = ( + − ) s 2
13 ∗ 13 = ( + − ) s 2
1 3 2 = ( + − ) s 2
Since, the square cancels out square- square root sign, we have
13 = ( + − ) s
( + − ) s = 13
So, when "s" is positive, the value of "s" is 13 and when "s" is negative, the value of "s" is **-13 **
So, the values of "s" are 13 , -13
The equation s 2 = 169 has two solutions: s = 13 and s = − 13 . This is because both the positive and negative versions of 13, when squared, result in 169. Therefore, you can express the solutions as s = ± 13 .
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