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 extraneous solution

Question

Crackers

Mathematics

12 August, 08:49

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 extraneous solution

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Answers (1)

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Gates · Answer 1

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.