Answer:
The number is 18.
Step-by-step explanation:
(1) Let x be the number
(2) Formulate the equation
[tex]4 - \sqrt{2x} = 10[/tex]
(3) Find the value of x
[tex]4 - \sqrt{2x} = 10 \\ - \sqrt{2x} = 10 - 4 \\ - \sqrt{2x} = 6 \\ { ( - \sqrt{2x} )}^{2} = {(6)}^{2} \\ 2x = 36 \\ x = 18[/tex]
(4) Check
[tex]4 - \sqrt{2x} = 10 \\ 4 - \sqrt{(2)(18)} = 10 \\ 4 - \sqrt{36} = 10 \\ 4 - ( - 6) = 10 \\ 4 + 6 = 10 \\ 10 = 10[/tex]
Note: I used -6 as the square root of 36 for 18 to be true. Otherwise, there'll be no answer.
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