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Tema [17]
4 years ago
5

X+y+z =4

Mathematics
1 answer:
cestrela7 [59]4 years ago
4 0
<span><span> <span>Akar akar persamaan kuadrat 2x² - 3x -1 = 0 adalah x1 dan x2. Persamaan kuadrat baru yang akar akarnya satu lebih kecil dari dua kali akar akar persamaan kuadrat di atas adalah ........</span></span><span><span><span>A.x² - x - 4 = 0</span><span>B.x² + 5x - 4 = 0</span><span>C.x² - x + 4 = 0</span></span><span><span>D.x² + x + 4 = 0</span><span>E.x² - 5x - 4 = 0</span></span></span><span>Jawaban : A
Penyelesaian : 
Akar-akar persamaan lama :  x1 dan x2
                                             
Akar-akar persamaan baru :  xA dan xB
                                             xA = 2x1 - 1
                                             xB = 2x2 - 1
                                             xA + xB  = (2x1 - 1) + (2x2 - 1)
                                                           = 2 (x1 + x2) - 2
                                                           = 2 () - 2
                                                           = 3 - 2
                                              xA + xB = 1
    
                                              xA . xB = (2x1 - 1) (2x2 - 1)
                                                          = 4 x1.x2 - 2(x1 + x2) + 1
                                                          = 4.(-) - 2() + 1
                                                          = -2 - 3 + 1
                                              xA . xB = -4
    
Jadi persamaan kuadrat baru : x² - (xA + xB)x + xA . xB = 0
                                              x² - x - 4 = 0

</span></span>
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Equivalent expressions are expressions of equal values

The equivalent expressions are 4x+ (y - 8y) + (2z-5z) +6   and 6x-3x-6x + (2y - 10y) + (4 - 8) + (z - 88z)

<h3>How to determine the equivalent expressions</h3>

The first expression has been solved.

So, we have the following expressions

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<u>4x−7y−5z+6</u>

We have:

4x-7y-5z+6

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Read more about equivalent expressions at:

brainly.com/question/2972832

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