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neonofarm [45]
3 years ago
12

Find the solution of 5 times the square root of the quantity of x plus 7 equals negative 10, and determine if it is an extraneou

s solution
Mathematics
2 answers:
likoan [24]3 years ago
8 0

we are given

5 times the square root of the quantity of x plus 7

so, we get

left side is

5\sqrt{x+7}

right side is -10

so, we can set them equal

5\sqrt{x+7}=-10

Since, we have to solve for x

so, we will isolate x one anyone side

and then we can solve for x

we take square both sides

(5\sqrt{x+7})^2=(-10)^2

25(x+7)=100

Divide both sides by 25

\frac{25(x+7)}{25} =\frac{100}{25}

x+7 =4

Subtract both sides by 7

x+7-7 =4-7

x =-3

Extraneous solution:

we can plug x=-3 into original

5\sqrt{-3+7}=-10

5\sqrt{4}=-10

5*2=-10

10=-10

we know that 10 is not equal to -10

so, x=-3 is not valid solution

Hence, this is extraneous solution...........Answer

Leto [7]3 years ago
6 0
The solution of the information given will be as follows:
5√(x+7)=10
dividing both sides by 5 we get:
√(x+7)=2
squaring both sides we get:
(x+7)=2²
x+7=4
solving for x we get
x=4-7
x=-3
thus the answer is x=-3
this is an extraneous solution.<span />
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