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andrew11 [14]
3 years ago
13

Solve the rational equation x/5 = x^2/x+2 and check for extraneous solutions.

Mathematics
1 answer:
gtnhenbr [62]3 years ago
6 0

Answer:

x

Step-by-step explanation:

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What are all of the real roots of the following polynomial? f(x) x^4-24x^2-25
Greeley [361]

<u>Answer:</u>

x = ±5

<u>Step-by-step explanation:</u>

We are given the following polynomial function and we are to find all of its real roots:

x^4-24x^2-25

Let y=x^2 so we can now write it as:

y^2-24y-25

Factorizing it to get:

(y^2+y)+(-25y-25)

y\left(y+1\right)-25\left(y+1\right)

\left ( y + 1 \right ) \left ( y - 2 5 \right)

Substitute back y=x^2 to get:

\left ( x^2 + 1 \right ) \left ( x^2 - 25 \right )

\left ( x^2 + 1 \right ) \left ( x + 5 \right ) \left ( x - 5 \right )

The quadratic factor has only complex roots. Therefore, the real roots are x = ±5.

3 0
3 years ago
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6(14+x)=108, umm please help
My name is Ann [436]

Answer:

X = 4

I hope this helps

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4 0
3 years ago
Find the unknown area
grin007 [14]

Answer: 81 mm^2

Step-by-step explanation: All the sides are the same length and area is just length * width so 9*9=81. You're welcome

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Please help fast!!!!!!!!!!!!!!
denis-greek [22]

Answer:

The third option, -1/2(30) = -15

Step-by-step explanation:

If it decreases by 1/2, we know it has to be -1/2, and the days we are given are 30. We need to multiply -1/2 by 30 in order to find the water level after 30 days, which would be -15 (inches?) I hope this helped.

5 0
2 years ago
A town is replacing a sidewalk that serves eight homes. the length of the sidewalk is 900 feet. laura's property has 60 feet of
Papessa [141]

we know that

by proportion

\frac{18,000}{900} \frac{\$}{feet}= \frac{x}{60}\frac{\$}{feet} \\\\ 900*x=18,000*60 \\\\x= \frac{18,000*60}{900}\\\\ x= \$1,200

therefore

<u>the answer is</u>

\$1,200

8 0
3 years ago
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