Tina S

28 Mei 2024 05:04

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Tina S

28 Mei 2024 05:04

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Andrew F

28 Mei 2024 07:33

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<p>1/(x<sub>1</sub> + 1) + 1/(x<sub>2</sub> + 1)</p><p>(x<sub>2</sub> + 1)/(x<sub>1</sub> + 1)(x<sub>2</sub> + 1) + (x<sub>1</sub> + 1)/(x<sub>1</sub> + 1)(x<sub>2</sub> + 1)</p><p>((x<sub>2</sub> + 1) + (x<sub>1</sub> + 1))/(x<sub>1</sub> + 1)(x<sub>2</sub> + 1)</p><p>(x<sub>1</sub> + x<sub>2</sub> + 2)/((x<sub>1</sub> × x<sub>2</sub>) + ((x<sub>1</sub> × 1) + (1 × x<sub>2</sub>)) + (1 × 1))</p><p>(x<sub>1</sub> + x<sub>2</sub> + 2)/(x<sub>1</sub>x<sub>2</sub> + (x<sub>1</sub> + x<sub>2</sub>) + 1)</p><p>&nbsp;</p><p>Bentuk umum persamaan kuadrat :</p><p>ax² + bx + c = 0</p><p>&nbsp;</p><p>x<sub>1</sub> + x<sub>2</sub> = -b/a</p><p>x<sub>1</sub> × x<sub>2</sub> = x<sub>1</sub>x<sub>2</sub> = c/a</p><p>&nbsp;</p><p>Maka :</p><p>x² + 4x - 3 = 0</p><p>(1)x² + (4)x + (-3) = 0</p><p>&nbsp;</p><p>a = 1</p><p>b = 4</p><p>c = -3</p><p>&nbsp;</p><p>x<sub>1</sub> + x<sub>2</sub> = -b/a</p><p>x<sub>1</sub> + x<sub>2</sub> = -4/1</p><p>x<sub>1</sub> + x<sub>2</sub> = -4.</p><p>&nbsp;</p><p>x<sub>1</sub> × x<sub>2</sub> = x<sub>1</sub>x<sub>2</sub> = c/a</p><p>x<sub>1</sub>x<sub>2</sub> = c/a</p><p>x<sub>1</sub>x<sub>2</sub> = -3/1</p><p>x<sub>1</sub>x<sub>2 </sub>= -3.</p><p>&nbsp;</p><p>(x<sub>1</sub> + x<sub>2</sub> + 2)/(x<sub>1</sub>x<sub>2</sub> + (x<sub>1</sub> + x<sub>2</sub>) + 1)</p><p>(-4 + 2)/(-3 + (-4) + 1)</p><p>(-2)/(-6) = 1/3. (<i>A</i>)</p><p>&nbsp;</p><p>Jadi, hasilnya adalah 1/3. (<i>A</i>)</p><p>&nbsp;</p><p>Semoga membantu.</p>

1/(x1 + 1) + 1/(x2 + 1)

(x2 + 1)/(x1 + 1)(x2 + 1) + (x1 + 1)/(x1 + 1)(x2 + 1)

((x2 + 1) + (x1 + 1))/(x1 + 1)(x2 + 1)

(x1 + x2 + 2)/((x1 × x2) + ((x1 × 1) + (1 × x2)) + (1 × 1))

(x1 + x2 + 2)/(x1x2 + (x1 + x2) + 1)

 

Bentuk umum persamaan kuadrat :

ax² + bx + c = 0

 

x1 + x2 = -b/a

x1 × x2 = x1x2 = c/a

 

Maka :

x² + 4x - 3 = 0

(1)x² + (4)x + (-3) = 0

 

a = 1

b = 4

c = -3

 

x1 + x2 = -b/a

x1 + x2 = -4/1

x1 + x2 = -4.

 

x1 × x2 = x1x2 = c/a

x1x2 = c/a

x1x2 = -3/1

x1x2 = -3.

 

(x1 + x2 + 2)/(x1x2 + (x1 + x2) + 1)

(-4 + 2)/(-3 + (-4) + 1)

(-2)/(-6) = 1/3. (A)

 

Jadi, hasilnya adalah 1/3. (A)

 

Semoga membantu.


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