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chubhunter [2.5K]
3 years ago
15

(x ^ 4 - 4x ^ 3 + 10x + 4)/(x - 3)

Mathematics
2 answers:
Andrej [43]3 years ago
3 0

Answer:

X=3

Step-by-step explanation:

cricket20 [7]3 years ago
3 0

Answer:

Give me brainllest

Step-by-step explanation:

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If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!
timama [110]

x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0

By the quadratic formula,

x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2

Then

(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2

\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}

Multiply numerator and denominator by the denominator's conjugate:

\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15

3 0
3 years ago
What did andrew do wrong??
Ivahew [28]
His hand slipped and she could not hold on any longer. He reached out to stop her from falling but all he caught was a single hair. She fell into the abyss and disappeared out of sight. He stared into the emptiness that had stolen his love away from him and began to cry. She was gone. He heard a faint whisper in the background that would haunt him for ever more 'Andrew, what did you do wrong?'

Sorry, I like creative writing.
8 0
3 years ago
Which is the product of 5/18 and 6?
hoa [83]
The answer to this question is B
4 0
3 years ago
1000^m/100^n=10^zexpress z in terms of m and n
Hitman42 [59]

\dfrac{1000^m}{100^n}=10^z\\\\\dfrac{10^{3m}}{10^{2n}}=10^z\\\\10^{3m-2n}=10^z\\\\\boxed{z=3m-2n}

3 0
3 years ago
If a = b and 1/x + 1/a = 1/b then x =
seraphim [82]
1/x+1/a=1/a
minus 1/a from both sides
1/x=0
false
let's try a differnt way
1/x+1/a=1/a
times both sides by xa
a+x=x
minus x from both sides
a=0
???
1/0 is undefined
this creates problems


no solution
6 0
3 years ago
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