COMPLETING THE SQUARE (PROCESS): Do a reverse factoring procedure to develop the following form of equation: (t + a)^2 = b
where: t = unknown variable a = coefficient b = coefficient
Then take square root of both sides to find value of unknown variable as follows:
t^2 + 10t = 75 (t^2 + 10t + 25) = 75 + 25 (t^2 + 5t + 5t + 25) = 100 (t + 5)(t + 5) = 100 (t + 5)^2 = 100 √(t + 5)^2 = √100
Two solutions exist: +(t + 5) = 10 AND -(t + 5) = 10
Thus: t = 10 - 5 = 5 AND t = -5 - 10 = -15
Answer: t = 5 AND t = -15
t 2 + 10 t = 75 t 2 + 10 t + 25 − 25 = 75 ( t + 5 ) 2 = 100 ∣ t + 5∣ = 10 t + 5 = 10 ∨ t + 5 = − 10 t = 5 ∨ t = − 15
To complete the square for the equation t 2 + 10 t = 75 , we isolate terms to form ( t + 5 ) 2 = 100 . The solutions obtained are t = 5 and t = − 15 .
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Jawaban:Artinya, Tuhan memiliki kekuasaan yang tak terbatas, jadi jangan lupa untuk selalu mengingat dan mengandalkan-Nya.Penjelasan:Kalimat itu mengingatkan kita bahwa sekuat apa pun manusia, kekuasaan Tuhan jauh lebih besar dan tak terbatas. Maka, jangan sombong dan tetap bergantung pada-Nya.