You can factor both the numerator and denominator:
![\frac{x^2 -10x-11}{x^2 - 121} = \frac{(x-11)(x+1)}{(x-11)(x+11)}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%5E2%20-10x-11%7D%7Bx%5E2%20-%20121%7D%20%3D%20%20%5Cfrac%7B%28x-11%29%28x%2B1%29%7D%7B%28x-11%29%28x%2B11%29%7D%20)
Next, cancel out common factors:
![\frac{(x-11)(x+1)}{(x-11)(x+11)} = \frac{x+1}{x+11}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-11%29%28x%2B1%29%7D%7B%28x-11%29%28x%2B11%29%7D%20%3D%20%5Cfrac%7Bx%2B1%7D%7Bx%2B11%7D)
Your answer should be
![\frac{x+1}{x+11}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%2B1%7D%7Bx%2B11%7D)
.
Answer:
<u>x = √13 - 3</u>
<u>x = -√13 - 3</u>
Step-by-step explanation:
Given :
Solving :
- x² + 6x + 9 - 9 - 4 = 0 [Adding and subtracting 9]
- (x + 3)² - 13 = 0 [Group the square term together]
- (x + 3)² -13 + 13 = 0 + 13 [Add 13 on both sides]
- √(x + 3)² = √13 [Taking square root on both sides]
- x + 3 - 3 = ±√13 - 3 [Subtract 3 from both sides]
- x = ±√13 - 3
Solutions :
- <u>x = √13 - 3</u>
- <u>x = -√13 - 3</u>
-4d + 2(3+d)= -14
distribute the 2(3+d)
-4d + 6+ 2d= -14
Combine the like terms
-4d + 2d + 6= -14
-2d + 6 = -14
subtract 6 to -14
-2d = -20
divide by -2
d= -20/-2
d= 10
Check your answer
-4(10) + 2(3+ 10) = -14
-40 + 6 + 20
-40 + 26= -14
8950.1 / 10000 = 0.89501...
1000 x 10 = 10000, so you’ll need to divide 8950.1 1000 times!
94 - 102 = -8!
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