selesaikan 3 soal dibawah dengan tepat dan penjelasan yang sangat rinci!!
Answer (3)
By using the fact that line AB bisects angle FAE, we create a quadratic formula. We solve this and find that the values of x are 2 and 3.
The problem states that the line AB bisects angle FAE. This means that line AB splits angle FAE into two equal angles. Therefore, the expressions representing the line segments BF and BE, which are 5x and x²+6 respectively, should be equal to each other.
To solve for x, we set the two expressions equal to each other, as shown:
5x = x² + 6.
By rearranging the terms, we get:
x² - 5x + 6 = 0.
This is** a quadratic equation** and can be factored to:
(x - 2)(x - 3) = 0.
Setting each factor equal to zero gives us the solutions x = 2 and x = 3. Thus, the values of x that satisfy the given conditions are x = 2 and x = 3.
Learn more about Bisection and Quadratic Equations here:
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The value of x is derived by setting the expressions for BF and BE equal since AB bisects angle FAE. This leads to the quadratic equation, which factors to provide solutions of x = 2 and x = 3. Therefore, the values of x that satisfy the conditions are 2 and 3.
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Jawaban: soal-soal eksponensial ini dengan caranya: 1. √(9^(2x+9)) = (1/3)^(-3x-3)- Ubah basis menjadi sama:- (3²)^((2x+9)/2) = (3⁻¹)^(-3x-3)- 3^(2x+9) = 3^(3x+3)- Karena basis sama, samakan pangkatnya:- 2x + 9 = 3x + 3- 6 = x- Jadi, x = 6 2. 2^(x+x₂) = 1- Ingat, setiap bilangan (kecuali 0) pangkat 0 hasilnya 1. Jadi:- x + x₂ = 0- x₂ = -x- Karena kita hanya punya satu persamaan, kita tidak bisa menentukan nilai pasti x dan x₂. Namun, kita tahu bahwa x₂ adalah negatif dari x.- Jadi, x + x₂ = 0 3. 3^((x²-4x-5)/(3x-1)) = 1- Sama seperti soal sebelumnya, agar hasilnya 1, maka pangkatnya harus 0:- (x² - 4x - 5) / (3x - 1) = 0- Pecahan akan bernilai 0 jika pembilangnya 0:- x² - 4x - 5 = 0- Faktorkan persamaan kuadrat:- (x - 5)(x + 1) = 0- Maka, x = 5 atau x = -1- Jadi, x = 5 atau -1
