Mathematics, 04.07.2019 18:30 heyysn3858

Solve the radical equation. square root of 8x+9=x+2 which is an extraneous solution to the radical equation? x = −1 x = 1 x = 5 there are no extraneous solutions to the equation.

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Answer from: phowhim40

D. There are no extraneous solutions to the equation.

Step-by-step explanation:

We have been given an equation $\sqrt{8x+9}=x+2$ . We are asked to find extraneous solution to the radical equation.

First of all, we will square both sides of our given equation as:

$(\sqrt{8x+9})^2=(x+2)^2$

8x+9=x^2+4x+4

Upon switching the sides, we will get:

x^2+4x+4=8x+9

x^2+4x-8x+4=8x-8x+9

x^2-4x+4=9

x^2-4x+4-9=9-9

x^2-4x-5=0

Upon splitting the middle term:

x^2-5x+x-5=0

x(x-5)+1(x-5)=0

(x-5)(x+1)=0

Using zero product property, we will get:

$(x-5)=0\text{ (or) }(x+1)=0$

$x=5 \text{ (or) }x=-1$

Now, we will check both solutions to find any extraneous solution as:

$\sqrt{8x+9}=x+2$

$\sqrt{8(-1)+9}=-1+2$

$\sqrt{-8+9}=1$

$\sqrt{1}=1$

1=1 True.

$\sqrt{8x+9}=x+2$

$\sqrt{8(5)+9}=5+2$

$\sqrt{40+9}=7$

$\sqrt{49}=7$

7=7 True.

Therefore, there is no extraneous solution to our given equation and option D is the correct choice.

Answer from: keenonwhite2612

Step-by-step explanation:

Answer from: Quest

see below

step-by-step explanation:

7. there are 10 data points in the set. the middle point is between 5 and 6. the middle point in the top half is 8 and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term point 8 = 100 point 3 = 88

iqr = 100-88 = 12

final point 8 = 93 point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6. b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical . there is an outlier for the males that skews the data

5. the iqr is a better measure of spread for the movies and basketball games. since the basketball game has an outlier, we do not want to use standard deviation for measurement.

3. the exam median is much higher than the class median. the median line is farther to the right on the exams

2. there is no way to tell what the means are from the box and whisker plots.

Answer from: Quest

Well in order to lose a pound you would have to burn 1,500 calories. the more calories you burn the more weight you lose. in order to lose 2 pounds you would have to run 4 hours and 28 minutes.

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Solve the radical equation. square root of 8x+9=x+2 which is an extraneous solution to the radical...

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