Tolong Bantuanny No 5 ini gimana
Matematika
AdityaPra12
Pertanyaan
Tolong Bantuanny No 5 ini gimana
1 Jawaban
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1. Jawaban algebralover
a). -x² + x + 6 = (-x - 2) (x - 3) = 0
-x - 2 = 0
-x = 2
x = -2
x + 2 = 0
(2)² - (-3)² = 4 - 9 = - 5
b). x² - 9 = (x + 3) (x - 3) = 0
3² - (-3)² = 9 - 9 = 0
c). 5x² - x = (5x -1) (x + 0) = 0
5x - 1 = 0 x + 0 = 0
5x = 1 x = 0
x = 1/5
x - 1/5 = 0 → (-¹/₅)² - (0)² = ¹/₂₅
[tex]d).\ x-6+ \frac{5}{x}=0 .......dikalikan\ dgn\ x \\ \\ x^2 - 6x + 5=0 \\ (x+1)(x-5)=0 \to 1^2-(-5)^2 = 1 - 25=-24 \\ \\ e). \frac{x}{3}= \frac{x+6}{x} \\ \\ x^2=3(x+6) \\ x^2=3x+18 \\ x^2-3x-18=0 \\ (x+6)(x-3)=0 \to 6^2-(-3)^2=36-9=25 \\ \\ f). \frac{1}{4}x^2+ \frac{1}{2}x+ \frac{1}{4}=0.....dikalikan\ dgn\ 4 \\ \\ x^2+2x+1=0 \\ (x+1)(x+1)=0 \\ 1^2-1^2=1-1=0 [/tex]
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