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2 years ago

Find the LCM of the given polynomials. x^2 - 25 and x^2 - 3x - 10

Mathematics

1 answer:

klio [65]2 years ago

6 0

Answer:

x^2 - 25 equals (x - 5) x (x + 5)

x^2 - 3x - 10 equals (x + 2) x (x - 5)

Step-by-step explanation:

For x^2 - 25

x^2 - 5^2

(x - 5) x (x + 5)

For x^2 - 3x - 10

x^2 + 2x - 5x - 10

x x (x + 2) - 5x - 10

x x (x + 2) x (x - 5)

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Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ

Deffense [45]

Answer:

$\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}$

Step-by-step explanation:

$Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}$

$\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16$

$\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i$

6 0

3 years ago

Read 2 more answers

What to the tenth power can get you 300

OLEGan [10]

Answer:

1.7689 (rounded to 4 decimal places)

Step-by-step explanation:

Let the number we are seeking be "x", thus we can write the equation as:

$x^{10}=300$

Since we have raised "x" to the "10th power", to get "x" back again, we need to take 10th root. Same goes for right side, we take 10th root of 300. We will get our answer. The process shown below:

$x^{10}=300\\\sqrt[10]{x^{10}} =\sqrt[10]{300} \\x=\sqrt[10]{300} \\x=1.7689$

hence, 1.7689 raised to 10th power will give us 300

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3 years ago

Brooklyn bought 9 chicken wings for $12. What was the cost of the wings in wings per dollar?

Vikentia [17]

Answer:

3/4 wings per dollar

Step-by-step explanation:

We want to find wings per dollar

9 wings/ 12 dollars

Divide top and bottom by 3

3/4 wings per dollar

3 0

3 years ago

The scatter plot shows which type of correlation?

andre [41]

Answer:

negative correlation

Step-by-step explanation:

because it starts from the y axis

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3 years ago

What is the range for 42 42 52 53 58 58 61

Stolb23 [73]

Answer:

range would be 19

Step-by-step explanation:

8 0

3 years ago

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