IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng mga eksperto. Magtanong at makatanggap ng eksaktong sagot mula sa aming mga bihasang miyembro ng komunidad.

The square root of twice the number is subtracted from 4 and the result is 10. Find the
number​


Sagot :

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.

#CarryOnLearning

>_<